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21229537568 = 254325992
BaseRepresentation
bin10011110001011000…
…010000100100100000
32000210112010020201012
4103301120100210200
5321434230200233
613430330400052
71351042043351
oct236130204440
960715106635
1021229537568
11900457a878
124145890028
132004341765
141055703d28
15843b8d548
hex4f1610920

21229537568 has 54 divisors (see below), whose sum is σ = 42861803859. Its totient is φ = 10350604992.

The previous prime is 21229537561. The next prime is 21229537573. The reversal of 21229537568 is 86573592212.

It is a happy number.

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 only one way, i.e., 10614768784 + 10614768784 = 103028^2 + 103028^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=103028.

It is a super-2 number, since 2×212295375682 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21229537561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35441333 + ... + 35441931.

Almost surely, 221229537568 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 21229537568

21229537568 is an abundant number, since it is smaller than the sum of its proper divisors (21632266291).

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

21229537568 is an frugal number, since it uses more digits than its factorization.

21229537568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 644 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 50.

Multiplying 21229537568 by its sum of digits (50), we get a square (1061476878400 = 10302802).

The spelling of 21229537568 in words is "twenty-one billion, two hundred twenty-nine million, five hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 86 172 344 599 688 1198 1376 1849 2396 3698 4792 7396 9584 14792 19168 25757 29584 51514 59168 103028 206056 358801 412112 717602 824224 1107551 1435204 2215102 2870408 4430204 5740816 8860408 11481632 15428443 17720816 30856886 35441632 61713772 123427544 246855088 493710176 663423049 1326846098 2653692196 5307384392 10614768784 21229537568