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225311556 = 223294091583
BaseRepresentation
bin11010110110111…
…11101101000100
3120200222000100110
431123133231010
5430134432211
634205113020
75404055001
oct1533375504
9520860313
10225311556
111062009a8
1263558770
13378aa262
1421cd08a8
1514ba8ea6
hexd6dfb44

225311556 has 48 divisors (see below), whose sum is σ = 545529600. Its totient is φ = 72291072.

The previous prime is 225311549. The next prime is 225311579. The reversal of 225311556 is 655113522.

It is a happy number.

It is a super-2 number, since 2×2253115562 = 101530594534282272, which contains 22 as substring.

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, 141541 + ... + 143123.

It is an arithmetic number, because the mean of its divisors is an integer number (11365200).

Almost surely, 2225311556 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 225311556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272764800).

225311556 is an abundant number, since it is smaller than the sum of its proper divisors (320218044).

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

225311556 is a wasteful number, since it uses less digits than its factorization.

225311556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2026 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 225311556 is about 15010.3816074076. The cubic root of 225311556 is about 608.5008028991.

The spelling of 225311556 in words is "two hundred twenty-five million, three hundred eleven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 409 818 1227 1583 1636 2454 3166 4749 4908 6332 9498 11861 18996 23722 35583 45907 47444 71166 91814 137721 142332 183628 275442 550884 647447 1294894 1942341 2589788 3884682 7769364 18775963 37551926 56327889 75103852 112655778 225311556