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225961076 = 2211172691123
BaseRepresentation
bin11010111011111…
…10010001110100
3120202012000022202
431131332101310
5430321223301
634231044032
75412431435
oct1535762164
9522160282
10225961076
111066049a0
1263810618
1337a76aa3
142201d48c
1514c8666b
hexd77e474

225961076 has 48 divisors (see below), whose sum is σ = 458861760. Its totient is φ = 96222720.

The previous prime is 225961037. The next prime is 225961111. The reversal of 225961076 is 670169522.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 200651 + ... + 201773.

It is an arithmetic number, because the mean of its divisors is an integer number (9559620).

Almost surely, 2225961076 is an apocalyptic number.

It is an amenable number.

225961076 is an abundant number, since it is smaller than the sum of its proper divisors (232900684).

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

225961076 is a wasteful number, since it uses less digits than its factorization.

225961076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 225961076 is about 15032.0017296433. The cubic root of 225961076 is about 609.0849632908.

The spelling of 225961076 in words is "two hundred twenty-five million, nine hundred sixty-one thousand, seventy-six".

Divisors: 1 2 4 11 17 22 34 44 68 187 269 374 538 748 1076 1123 2246 2959 4492 4573 5918 9146 11836 12353 18292 19091 24706 38182 49412 50303 76364 100606 201212 210001 302087 420002 604174 840004 1208348 3322957 5135479 6645914 10270958 13291828 20541916 56490269 112980538 225961076