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22937392928 = 254126532
BaseRepresentation
bin10101010111001011…
…001101011100100000
32012012112202021211102
4111113023031130200
5333433433033203
614312015533532
71441260423452
oct252713153440
965175667742
1022937392928
11980061888a
12454182a2a8
13221710b668
1411784722d2
158e3a94888
hex5572cd720

22937392928 has 54 divisors (see below), whose sum is σ = 46357261587. Its totient is φ = 11171837440.

The previous prime is 22937392909. The next prime is 22937392957. The reversal of 22937392928 is 82929373922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 84419344 + 22852973584 = 9188^2 + 151172^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107092.

It is a super-2 number, since 2×229373929282 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35125850 + ... + 35126502.

Almost surely, 222937392928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22937392928

22937392928 is an abundant number, since it is smaller than the sum of its proper divisors (23419868659).

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

22937392928 is an frugal number, since it uses more digits than its factorization.

22937392928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 696 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 56.

The spelling of 22937392928 in words is "twenty-two billion, nine hundred thirty-seven million, three hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 653 656 1306 1312 1681 2612 3362 5224 6724 10448 13448 20896 26773 26896 53546 53792 107092 214184 426409 428368 852818 856736 1097693 1705636 2195386 3411272 4390772 6822544 8781544 13645088 17482769 17563088 34965538 35126176 69931076 139862152 279724304 559448608 716793529 1433587058 2867174116 5734348232 11468696464 22937392928