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252233025 = 35211417457
BaseRepresentation
bin11110000100011…
…00010101000001
3122120121202122220
433002030111001
51004032424100
641010121253
76151642152
oct1702142501
9576552586
10252233025
1111a419450
1270580229
1340344c15
14256db929
1517225aa0
hexf08c541

252233025 has 48 divisors (see below), whose sum is σ = 466095168. Its totient is φ = 119296000.

The previous prime is 252233021. The next prime is 252233027. The reversal of 252233025 is 520332252.

It is not a de Polignac number, because 252233025 - 22 = 252233021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 252232986 and 252233004.

It is not an unprimeable number, because it can be changed into a prime (252233021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30097 + ... + 37553.

It is an arithmetic number, because the mean of its divisors is an integer number (9710316).

Almost surely, 2252233025 is an apocalyptic number.

252233025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

252233025 is a deficient number, since it is larger than the sum of its proper divisors (213862143).

252233025 is a wasteful number, since it uses less digits than its factorization.

252233025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 252233025 is about 15881.8457680460. The cubic root of 252233025 is about 631.8305915444.

Adding to 252233025 its reverse (520332252), we get a palindrome (772565277).

The spelling of 252233025 in words is "two hundred fifty-two million, two hundred thirty-three thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 41 55 75 123 165 205 275 451 615 825 1025 1353 2255 3075 6765 7457 11275 22371 33825 37285 82027 111855 186425 246081 305737 410135 559275 917211 1230405 1528685 2050675 3363107 4586055 6152025 7643425 10089321 16815535 22930275 50446605 84077675 252233025