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23023320000 = 26354191861
BaseRepresentation
bin10101011100010010…
…111111101111000000
32012102112102211121120
4111130102333233000
5334122432220000
614324325352240
71443352663632
oct253422775700
965375384546
1023023320000
11984507809a
124566568680
13222bb65795
141185a3ca52
158eb3b96a0
hex55c4bfbc0

23023320000 has 140 divisors (see below), whose sum is σ = 76120864776. Its totient is φ = 6139520000.

The previous prime is 23023319993. The next prime is 23023320007. The reversal of 23023320000 is 2332032.

It is an interprime number because it is at equal distance from previous prime (23023319993) and next prime (23023320007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24070 + ... + 215930.

Almost surely, 223023320000 is an apocalyptic number.

23023320000 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 23023320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38060432388).

23023320000 is an abundant number, since it is smaller than the sum of its proper divisors (53097544776).

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

23023320000 is an equidigital number, since it uses as much as digits as its factorization.

23023320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191896 (or 191871 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 23023320000 its reverse (2332032), we get a palindrome (23025652032).

The spelling of 23023320000 in words is "twenty-three billion, twenty-three million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 191861 383722 575583 767444 959305 1151166 1534888 1918610 2302332 2877915 3069776 3837220 4604664 4796525 5755830 6139552 7674440 9209328 9593050 11511660 12279104 14389575 15348880 18418656 19186100 23023320 23982625 28779150 30697760 36837312 38372200 46046640 47965250 57558300 61395520 71947875 76744400 92093280 95930500 115116600 119913125 143895750 153488800 184186560 191861000 230233200 239826250 287791500 306977600 359739375 383722000 460466400 479652500 575583000 719478750 767444000 920932800 959305000 1151166000 1438957500 1534888000 1918610000 2302332000 2877915000 3837220000 4604664000 5755830000 7674440000 11511660000 23023320000