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225131747736 = 23372397482213
BaseRepresentation
bin1101000110101011100…
…1011101100110011000
3210112002211002202020010
43101222321131212120
512142032211411421
6251231334401520
722156655165400
oct3215271354630
9715084082203
10225131747736
1187529003255
12377702002a0
13182cac3381c
14ac79b61800
155cc99bd076
hex346ae5d998

225131747736 has 96 divisors (see below), whose sum is σ = 656370408240. Its totient is φ = 64161199872.

The previous prime is 225131747689. The next prime is 225131747837. The reversal of 225131747736 is 637747131522.

It is a super-2 number, since 2×2251317477362 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 225766 + ... + 707978.

Almost surely, 2225131747736 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 225131747736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328185204120).

225131747736 is an abundant number, since it is smaller than the sum of its proper divisors (431238660504).

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

225131747736 is a wasteful number, since it uses less digits than its factorization.

225131747736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482633 (or 482622 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 48.

The spelling of 225131747736 in words is "two hundred twenty-five billion, one hundred thirty-one million, seven hundred forty-seven thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 397 588 794 1176 1191 1588 2382 2779 3176 4764 5558 8337 9528 11116 16674 19453 22232 33348 38906 58359 66696 77812 116718 155624 233436 466872 482213 964426 1446639 1928852 2893278 3375491 3857704 5786556 6750982 10126473 11573112 13501964 20252946 23628437 27003928 40505892 47256874 70885311 81011784 94513748 141770622 189027496 191438561 283541244 382877122 567082488 574315683 765754244 1148631366 1340069927 1531508488 2297262732 2680139854 4020209781 4594525464 5360279708 8040419562 9380489489 10720559416 16080839124 18760978978 28141468467 32161678248 37521957956 56282936934 75043915912 112565873868 225131747736