Search a number
-
+
22257117885025 = 52432219432
BaseRepresentation
bin1010000111110001000111…
…00110101111001001100001
32220210202111210222020101101
411003320203212233021201
510404130034134310100
6115200440115434401
74455011062341052
oct503704346571141
986722453866341
1022257117885025
117101210893481
1225b56b38b5a01
13c55ab647627a
1456d3709a4729
15288e5a9d086a
hex143e239af261

22257117885025 has 27 divisors (see below), whose sum is σ = 28256873436819. Its totient is φ = 17390815812720.

The previous prime is 22257117885019. The next prime is 22257117885031. The reversal of 22257117885025 is 52058871175222.

It is a happy number.

The square root of 22257117885025 is 4717745.

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

It is an interprime number because it is at equal distance from previous prime (22257117885019) and next prime (22257117885031).

It can be written as a sum of positive squares in only one way, i.e., 8012562438609 + 14244555446416 = 2830647^2 + 3774196^2 .

It is not a de Polignac number, because 22257117885025 - 227 = 22256983667297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1014304204 + ... + 1014326146.

Almost surely, 222257117885025 is an apocalyptic number.

22257117885025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22257117885025 is the 4717745-th square number.

22257117885025 is the 2358873-rd centered octagonal number.

It is an amenable number.

22257117885025 is a deficient number, since it is larger than the sum of its proper divisors (5999755551794).

22257117885025 is an frugal number, since it uses more digits than its factorization.

22257117885025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43982 (or 21991 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 55.

The spelling of 22257117885025 in words is "twenty-two trillion, two hundred fifty-seven billion, one hundred seventeen million, eight hundred eighty-five thousand, twenty-five".

Divisors: 1 5 25 43 215 1075 1849 9245 21943 46225 109715 548575 943549 4717745 23588725 40572607 202863035 481495249 1014315175 2407476245 12037381225 20704295707 103521478535 517607392675 890284715401 4451423577005 22257117885025