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22472408464 = 2411234072
BaseRepresentation
bin10100111011011101…
…011011110110010000
32011000010210122001121
4110323131123312100
5332010414032324
614153525412024
71423613214562
oct247335336620
964003718047
1022472408464
1195920a8100
124431b6a014
13217199641c
1411327d3332
158b7d465e4
hex53b75bd90

22472408464 has 45 divisors (see below), whose sum is σ = 47872388011. Its totient is φ = 10211732960.

The previous prime is 22472408459. The next prime is 22472408489. The reversal of 22472408464 is 46480427422.

The square root of 22472408464 is 149908.

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

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 22472408464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6594249 + ... + 6597655.

Almost surely, 222472408464 is an apocalyptic number.

22472408464 is the 149908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22472408464

22472408464 is an abundant number, since it is smaller than the sum of its proper divisors (25399979547).

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

22472408464 is an frugal number, since it uses more digits than its factorization.

22472408464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 43.

The spelling of 22472408464 in words is "twenty-two billion, four hundred seventy-two million, four hundred eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 3407 6814 13628 27256 37477 54512 74954 149908 299816 412247 599632 824494 1648988 3297976 6595952 11607649 23215298 46430596 92861192 127684139 185722384 255368278 510736556 1021473112 1404525529 2042946224 2809051058 5618102116 11236204232 22472408464