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252312021 = 32133596007
BaseRepresentation
bin11110000100111…
…11100111010101
3122120202210000200
433002133213111
51004042441041
641011531113
76152421363
oct1702374725
9576683020
10252312021
1111a472835
12705b9a99
1340371b70
142571c633
151723e1b6
hexf09f9d5

252312021 has 24 divisors (see below), whose sum is σ = 393644160. Its totient is φ = 154810656.

The previous prime is 252311999. The next prime is 252312041. The reversal of 252312021 is 120213252.

252312021 is a `hidden beast` number, since 2 + 523 + 120 + 21 = 666.

It is not a de Polignac number, because 252312021 - 26 = 252311957 is a prime.

It is a super-2 number, since 2×2523120212 = 127322711882208882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252311985 and 252312003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252312041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39000 + ... + 45006.

It is an arithmetic number, because the mean of its divisors is an integer number (16401840).

Almost surely, 2252312021 is an apocalyptic number.

It is an amenable number.

252312021 is a deficient number, since it is larger than the sum of its proper divisors (141332139).

252312021 is a wasteful number, since it uses less digits than its factorization.

252312021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252312021 is about 15884.3325638819. The cubic root of 252312021 is about 631.8965449483.

Adding to 252312021 its reverse (120213252), we get a palindrome (372525273).

The spelling of 252312021 in words is "two hundred fifty-two million, three hundred twelve thousand, twenty-one".

Divisors: 1 3 9 13 39 117 359 1077 3231 4667 6007 14001 18021 42003 54063 78091 234273 702819 2156513 6469539 19408617 28034669 84104007 252312021