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22648745025 = 32527921272
BaseRepresentation
bin10101000101111110…
…000110110001000001
32011110102121110100100
4111011332012301001
5332341034320100
614223225113013
71431154104414
oct250576066101
964412543310
1022648745025
1196726983a5
124481028769
13219c38699a
14114bdb5b7b
158c8579400
hex545f86c41

22648745025 has 81 divisors (see below), whose sum is σ = 41412480291. Its totient is φ = 11832518880.

The previous prime is 22648744999. The next prime is 22648745027. The reversal of 22648745025 is 52054784622.

The square root of 22648745025 is 150495.

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

22648745025 is a `hidden beast` number, since 2 + 2 + 64 + 87 + 4 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8153548209 + 14495196816 = 90297^2 + 120396^2 .

It is not a de Polignac number, because 22648745025 - 219 = 22648220737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22648745027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 178336512 + ... + 178336638.

Almost surely, 222648745025 is an apocalyptic number.

22648745025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22648745025 is the 150495-th square number.

22648745025 is the 75248-th centered octagonal number.

It is an amenable number.

22648745025 is a deficient number, since it is larger than the sum of its proper divisors (18763735266).

22648745025 is an equidigital number, since it uses as much as digits as its factorization.

22648745025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 22648745025 in words is "twenty-two billion, six hundred forty-eight million, seven hundred forty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 79 127 225 237 381 395 635 711 1143 1185 1905 1975 3175 3555 5715 5925 6241 9525 10033 16129 17775 18723 28575 30099 31205 48387 50165 56169 80645 90297 93615 145161 150495 156025 241935 250825 280845 403225 451485 468075 725805 752475 792607 1209675 1274191 1404225 2257425 2377821 3629025 3822573 3963035 6370955 7133463 11467719 11889105 19112865 19815175 31854775 35667315 57338595 59445525 95564325 100661089 178336575 286692975 301983267 503305445 905949801 1509916335 2516527225 4529749005 7549581675 22648745025