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225051876 = 223273072909
BaseRepresentation
bin11010110101000…
…00010011100100
3120200110211010200
431122200103210
5430103130001
634155350500
75401623630
oct1532402344
9520424120
10225051876
11106043895
1263452430
1337818cba
1421c63dc0
1514b57086
hexd6a04e4

225051876 has 72 divisors (see below), whose sum is σ = 652491840. Its totient is φ = 64069056.

The previous prime is 225051863. The next prime is 225051887. The reversal of 225051876 is 678150522.

It is a happy number.

225051876 is a `hidden beast` number, since 22 + 50 + 518 + 76 = 666.

It is a super-2 number, since 2×2250518762 = 101296693782238752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225051876.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75910 + ... + 78818.

Almost surely, 2225051876 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 225051876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326245920).

225051876 is an abundant number, since it is smaller than the sum of its proper divisors (427439964).

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

225051876 is a wasteful number, since it uses less digits than its factorization.

225051876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225051876 is about 15001.7291003404. The cubic root of 225051876 is about 608.2669397151.

The spelling of 225051876 in words is "two hundred twenty-five million, fifty-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 307 614 921 1228 1842 2149 2763 2909 3684 4298 5526 5818 6447 8596 8727 11052 11636 12894 17454 19341 20363 25788 26181 34908 38682 40726 52362 61089 77364 81452 104724 122178 183267 244356 366534 733068 893063 1786126 2679189 3572252 5358378 6251441 8037567 10716756 12502882 16075134 18754323 25005764 32150268 37508646 56262969 75017292 112525938 225051876