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20232230320000 = 2754733464423
BaseRepresentation
bin1001001100110101011101…
…11001101011011110000000
32122122011220220210002101201
410212122232321223132000
510122441101430220000
6111010320331510544
74155505346124256
oct446325671533600
978564826702351
1020232230320000
1164a0493620736
122329184bb8454
13b39b77a8417a
144dd360a785d6
15251447b3e96a
hex1266aee6b780

20232230320000 has 160 divisors (see below), whose sum is σ = 51056844767280. Its totient is φ = 7982028288000.

The previous prime is 20232230319943. The next prime is 20232230320019. The reversal of 20232230320000 is 2303223202.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 20232230320000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4107789 + ... + 7572211.

Almost surely, 220232230320000 is an apocalyptic number.

20232230320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20232230320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25528422383640).

20232230320000 is an abundant number, since it is smaller than the sum of its proper divisors (30824614447280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20232230320000 is an frugal number, since it uses more digits than its factorization.

20232230320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3464530 (or 3464503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 20232230320000 its reverse (2303223202), we get a palindrome (20234533543202).

The spelling of 20232230320000 in words is "twenty trillion, two hundred thirty-two billion, two hundred thirty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 128 146 160 200 250 292 320 365 400 500 584 625 640 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3200 3650 4000 4672 5000 5840 7300 8000 9125 9344 10000 11680 14600 16000 18250 20000 23360 29200 36500 40000 45625 46720 58400 73000 80000 91250 116800 146000 182500 233600 292000 365000 584000 730000 1168000 1460000 2920000 3464423 5840000 6928846 13857692 17322115 27715384 34644230 55430768 69288460 86610575 110861536 138576920 173221150 221723072 252902879 277153840 346442300 433052875 443446144 505805758 554307680 692884600 866105750 1011611516 1108615360 1264514395 1385769200 1732211500 2023223032 2165264375 2217230720 2529028790 2771538400 3464423000 4046446064 4330528750 5058057580 5543076800 6322571975 6928846000 8092892128 8661057500 10116115160 11086153600 12645143950 13857692000 16185784256 17322115000 20232230320 25290287900 27715384000 31612859875 32371568512 34644230000 40464460640 50580575800 55430768000 63225719750 69288460000 80928921280 101161151600 126451439500 138576920000 158064299375 161857842560 202322303200 252902879000 277153840000 316128598750 404644606400 505805758000 632257197500 809289212800 1011611516000 1264514395000 2023223032000 2529028790000 4046446064000 5058057580000 10116115160000 20232230320000