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225963012 = 223112959029
BaseRepresentation
bin11010111011111…
…10110000000100
3120202012002222110
431131332300010
5430321304022
634231101020
75412440202
oct1535766004
9522162873
10225963012
111066063a0
1263811770
1337a77932
1422020072
1514c8700c
hexd77ec04

225963012 has 48 divisors (see below), whose sum is σ = 595022400. Its totient is φ = 66111360.

The previous prime is 225963011. The next prime is 225963043. The reversal of 225963012 is 210369522.

It is a super-2 number, since 2×2259630122 = 102118565584224288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225963011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25687 + ... + 33342.

It is an arithmetic number, because the mean of its divisors is an integer number (12396300).

Almost surely, 2225963012 is an apocalyptic number.

225963012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225963012 is an abundant number, since it is smaller than the sum of its proper divisors (369059388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225963012 is a wasteful number, since it uses less digits than its factorization.

225963012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59076 (or 59074 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 225963012 is about 15032.0661254533. The cubic root of 225963012 is about 609.0867028014.

The spelling of 225963012 in words is "two hundred twenty-five million, nine hundred sixty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 59029 118058 177087 236116 354174 649319 708348 1298638 1711841 1947957 2597276 3423682 3895914 5135523 6847364 7791828 10271046 18830251 20542092 37660502 56490753 75321004 112981506 225963012