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225998976 = 2737212011
BaseRepresentation
bin11010111100001…
…11100010000000
3120202020221022110
431132013202000
5430323431401
634231535320
75412650100
oct1536074200
9522227273
10225998976
11106630415
126382a540
1337a8b108
142202d200
1514c929d6
hexd787880

225998976 has 96 divisors (see below), whose sum is σ = 698377680. Its totient is φ = 64565760.

The previous prime is 225998933. The next prime is 225998987. The reversal of 225998976 is 679899522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12811 + ... + 24821.

Almost surely, 2225998976 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 225998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349188840).

225998976 is an abundant number, since it is smaller than the sum of its proper divisors (472378704).

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

225998976 is a wasteful number, since it uses less digits than its factorization.

225998976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12042 (or 12023 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The square root of 225998976 is about 15033.2623206009. The cubic root of 225998976 is about 609.1190149218.

The spelling of 225998976 in words is "two hundred twenty-five million, nine hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 12011 18816 24022 36033 48044 72066 84077 96088 144132 168154 192176 252231 288264 336308 384352 504462 576528 588539 672616 768704 1008924 1153056 1177078 1345232 1537408 1765617 2017848 2306112 2354156 2690464 3531234 4035696 4612224 4708312 5380928 7062468 8071392 9416624 10761856 14124936 16142784 18833248 28249872 32285568 37666496 56499744 75332992 112999488 225998976