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222400999003225 = 52724260892
BaseRepresentation
bin110010100100010111000100…
…100010110001010001011001
31002011110022212000022101222111
4302210113010202301101121
5213122304221221100400
62105001335232552321
764562641040205400
oct6244270442612131
91064408760271874
10222400999003225
1164955808a56469
1220b3a9786b26a1
13971342a3c3883
143ccc3a1462637
151aaa2613823ba
hexca45c48b1459

222400999003225 has 27 divisors (see below), whose sum is σ = 320802846973437. Its totient is φ = 152503184258880.

The previous prime is 222400999003217. The next prime is 222400999003231. The reversal of 222400999003225 is 522300999004222.

It is a happy number.

The square root of 222400999003225 is 14913115.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11190235922761 + 211210763080464 = 3345181^2 + 14533092^2 .

It is not a de Polignac number, because 222400999003225 - 23 = 222400999003217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 521745981 + ... + 522172069.

Almost surely, 2222400999003225 is an apocalyptic number.

222400999003225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

222400999003225 is the 14913115-th square number.

222400999003225 is the 7456558-th centered octagonal number.

It is an amenable number.

222400999003225 is a deficient number, since it is larger than the sum of its proper divisors (98401847970212).

222400999003225 is an frugal number, since it uses more digits than its factorization.

222400999003225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852202 (or 426101 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

222400999003225 divided by its sum of digits (49) gives a square (4538795898025 = 21304452).

The spelling of 222400999003225 in words is "two hundred twenty-two trillion, four hundred billion, nine hundred ninety-nine million, three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 426089 2130445 2982623 10652225 14913115 20878361 74565575 104391805 521959025 181551835921 907759179605 1270862851447 4538795898025 6354314257235 8896039960129 31771571286175 44480199800645 222400999003225