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215000964 = 2232231032521
BaseRepresentation
bin11001101000010…
…10011110000100
3112222120011212200
430310022132010
5420020012324
633200114500
75220322653
oct1464123604
9488504780
10215000964
111003a9452
1260005a30
133570a209
14207a919a
1513d1dec9
hexcd0a784

215000964 has 72 divisors (see below), whose sum is σ = 572836992. Its totient is φ = 67858560.

The previous prime is 215000927. The next prime is 215001013. The reversal of 215000964 is 469000512.

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, 84024 + ... + 86544.

Almost surely, 2215000964 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 215000964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286418496).

215000964 is an abundant number, since it is smaller than the sum of its proper divisors (357836028).

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

215000964 is a wasteful number, since it uses less digits than its factorization.

With its successor (215000965) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2652).

215000964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 215000964 is about 14662.9111707055. The cubic root of 215000964 is about 599.0735368464.

The spelling of 215000964 in words is "two hundred fifteen million, nine hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 103 138 206 207 276 309 412 414 618 828 927 1236 1854 2369 2521 3708 4738 5042 7107 7563 9476 10084 14214 15126 21321 22689 28428 30252 42642 45378 57983 85284 90756 115966 173949 231932 259663 347898 519326 521847 695796 778989 1038652 1043694 1557978 2087388 2336967 3115956 4673934 5972249 9347868 11944498 17916747 23888996 35833494 53750241 71666988 107500482 215000964