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225867136 = 2711198443
BaseRepresentation
bin11010111011001…
…11010110000000
3120202000020110111
431131213112000
5430310222021
634225041104
75411560525
oct1535472600
9522006414
10225867136
11106550360
1263786194
1337a430c1
1421dd714c
1514c688e1
hexd767580

225867136 has 64 divisors (see below), whose sum is σ = 516772800. Its totient is φ = 97251840.

The previous prime is 225867127. The next prime is 225867143. The reversal of 225867136 is 631768522.

225867136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22531 + ... + 30973.

It is an arithmetic number, because the mean of its divisors is an integer number (8074575).

Almost surely, 2225867136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258386400).

225867136 is an abundant number, since it is smaller than the sum of its proper divisors (290905664).

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

225867136 is a wasteful number, since it uses less digits than its factorization.

225867136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8475 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 225867136 is about 15028.8767378005. The cubic root of 225867136 is about 609.0005455474. Note that the first 3 decimals are identical.

The spelling of 225867136 in words is "two hundred twenty-five million, eight hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 6688 8443 13376 16886 26752 33772 67544 92873 135088 160417 185746 270176 320834 371492 540352 641668 742984 1080704 1283336 1485968 1764587 2566672 2971936 3529174 5133344 5943872 7058348 10266688 11887744 14116696 20533376 28233392 56466784 112933568 225867136