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22972484733444 = 2232193241392
BaseRepresentation
bin1010011100100101100101…
…10010101100101000000100
310000100010222221220102020100
411032102302302230220010
511002340122042432234
6120505225214004100
74560464405252661
oct516226262545004
9100303887812210
1022972484733444
1173576378167a4
1226b027a7a6630
13ca83b046420c
14595c34b04a68
1529c878bb3399
hex14e4b2caca04

22972484733444 has 81 divisors (see below), whose sum is σ = 58385879026293. Its totient is φ = 7615978274304.

The previous prime is 22972484733433. The next prime is 22972484733491. The reversal of 22972484733444 is 44433748427922.

The square root of 22972484733444 is 4792962.

It is a perfect power (a square), and thus also a powerful number.

22972484733444 is a `hidden beast` number, since 2 + 2 + 9 + 7 + 248 + 47 + 3 + 344 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5565966192900 + 17406518540544 = 2359230^2 + 4172112^2 .

It is a super-2 number, since 2×229724847334442 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 5550247927 + ... + 5550252065.

Almost surely, 222972484733444 is an apocalyptic number.

22972484733444 is the 4792962-nd square number.

It is an amenable number.

22972484733444 is an abundant number, since it is smaller than the sum of its proper divisors (35413394292849).

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

22972484733444 is an frugal number, since it uses more digits than its factorization.

22972484733444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 4337 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 63.

The spelling of 22972484733444 in words is "twenty-two trillion, nine hundred seventy-two billion, four hundred eighty-four million, seven hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 4139 6948 8278 12417 16556 24834 37249 37251 49668 74498 74502 111747 148996 149004 223494 335241 446988 670482 798827 1340964 1597654 2396481 3195308 4792962 7189443 9585924 14378886 17131321 28757772 34262642 51393963 68525284 102787926 154173611 154181889 205575852 308347222 308363778 462520833 616694444 616727556 925041666 1387562499 1850083332 2775124998 3306344953 5550249996 6612689906 9919034859 13225379812 19838069718 29757104577 39676139436 59514209154 119028418308 638124575929 1276249151858 1914373727787 2552498303716 3828747455574 5743121183361 7657494911148 11486242366722 22972484733444