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222457225 = 521921572
BaseRepresentation
bin11010100001001…
…10110110001001
3120111120222221111
431100212312021
5423422112400
634024010321
75340566224
oct1520466611
9514528844
10222457225
11104631451
12626009a1
133711acc3
142178a5bb
15147e33ba
hexd426d89

222457225 has 27 divisors (see below), whose sum is σ = 292995477. Its totient is φ = 167525280.

The previous prime is 222457201. The next prime is 222457243. The reversal of 222457225 is 522754222.

The square root of 222457225 is 14915.

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 26904969 + 195552256 = 5187^2 + 13984^2 .

It is not a de Polignac number, because 222457225 - 27 = 222457097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1416847 + ... + 1417003.

Almost surely, 2222457225 is an apocalyptic number.

222457225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

222457225 is the 14915-th square number.

222457225 is the 7458-th centered octagonal number.

It is an amenable number.

222457225 is a deficient number, since it is larger than the sum of its proper divisors (70538252).

222457225 is an equidigital number, since it uses as much as digits as its factorization.

222457225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 181 counting only the distinct ones).

The product of its digits is 22400, while the sum is 31.

The cubic root of 222457225 is about 605.9203032504.

The spelling of 222457225 in words is "two hundred twenty-two million, four hundred fifty-seven thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 157 361 475 785 1805 2983 3925 9025 14915 24649 56677 74575 123245 283385 468331 616225 1416925 2341655 8898289 11708275 44491445 222457225