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215551656 = 23321928293
BaseRepresentation
bin11001101100100…
…00111010101000
3120000121011021200
430312100322220
5420140123111
633220004200
75225105325
oct1466207250
9500534250
10215551656
11100745171
1260230660
1335870a78
14208adb4c
1513dcc256
hexcd90ea8

215551656 has 72 divisors (see below), whose sum is σ = 616202730. Its totient is φ = 68060736.

The previous prime is 215551643. The next prime is 215551673. The reversal of 215551656 is 656155512.

It can be written as a sum of positive squares in only one way, i.e., 203062500 + 12489156 = 14250^2 + 3534^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 215551656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21846 + ... + 30138.

Almost surely, 2215551656 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 215551656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308101365).

215551656 is an abundant number, since it is smaller than the sum of its proper divisors (400651074).

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

215551656 is a wasteful number, since it uses less digits than its factorization.

215551656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343 (or 8317 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 215551656 is about 14681.6775608239. The cubic root of 215551656 is about 599.5845791089.

The spelling of 215551656 in words is "two hundred fifteen million, five hundred fifty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 4332 6498 8293 8664 12996 16586 24879 25992 33172 49758 66344 74637 99516 149274 157567 199032 298548 315134 472701 597096 630268 945402 1260536 1418103 1890804 2836206 2993773 3781608 5672412 5987546 8981319 11344824 11975092 17962638 23950184 26943957 35925276 53887914 71850552 107775828 215551656