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22032058624 = 2892772
BaseRepresentation
bin10100100001001101…
…101000100100000000
32002212110012112122021
4110201031220210000
5330110201333444
614042115251224
71406655260032
oct244115504400
962773175567
1022032058624
119386582814
12432a5a9b14
132101697ca4
1410d0127c52
1588e362584
hex521368900

22032058624 has 27 divisors (see below), whose sum is σ = 43982795577. Its totient is φ = 11014841856.

The previous prime is 22032058583. The next prime is 22032058637. The reversal of 22032058624 is 42685023022.

The square root of 22032058624 is 148432.

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

It can be written as a sum of positive squares in only one way, i.e., 18041862400 + 3990196224 = 134320^2 + 63168^2 .

It is a super-2 number, since 2×220320586242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22032058624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2370274 + ... + 2379550.

Almost surely, 222032058624 is an apocalyptic number.

22032058624 is the 148432-nd square number.

It is an amenable number.

22032058624 is a deficient number, since it is larger than the sum of its proper divisors (21950736953).

22032058624 is an frugal number, since it uses more digits than its factorization.

22032058624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 22032058624 in words is "twenty-two billion, thirty-two million, fifty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 9277 18554 37108 74216 148432 296864 593728 1187456 2374912 86062729 172125458 344250916 688501832 1377003664 2754007328 5508014656 11016029312 22032058624