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20240322000 = 2435323146669
BaseRepresentation
bin10010110110011010…
…101100110111010000
31221020120201220001120
4102312122230313100
5312423010301000
613144232202240
71314400620063
oct226632546720
957216656046
1020240322000
118647152548
123b0a539380
131ba740c1c2
14da01a28da
157d6ddc6a0
hex4b66acdd0

20240322000 has 160 divisors (see below), whose sum is σ = 68092427520. Its totient is φ = 5162713600.

The previous prime is 20240321999. The next prime is 20240322017. The reversal of 20240322000 is 22304202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64666 + ... + 211334.

It is an arithmetic number, because the mean of its divisors is an integer number (425577672).

Almost surely, 220240322000 is an apocalyptic number.

20240322000 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 20240322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34046213760).

20240322000 is an abundant number, since it is smaller than the sum of its proper divisors (47852105520).

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

20240322000 is a wasteful number, since it uses less digits than its factorization.

20240322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146718 (or 146702 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 20240322000 its reverse (22304202), we get a palindrome (20262626202).

The spelling of 20240322000 in words is "twenty billion, two hundred forty million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 138000 146669 293338 440007 586676 733345 880014 1173352 1466690 1760028 2200035 2346704 2933380 3373387 3520056 3666725 4400070 5866760 6746774 7040112 7333450 8800140 10120161 11000175 11733520 13493548 14666900 16866935 17600280 18333625 20240322 22000350 26987096 29333800 33733870 35200560 36667250 40480644 44000700 50600805 53974192 55000875 58667600 67467740 73334500 80961288 84334675 88001400 101201610 110001750 134935480 146669000 161922576 168669350 176002800 202403220 220003500 253004025 269870960 293338000 337338700 404806440 421673375 440007000 506008050 674677400 809612880 843346750 880014000 1012016100 1265020125 1349354800 1686693500 2024032200 2530040250 3373387000 4048064400 5060080500 6746774000 10120161000 20240322000