Search a number
-
+
235216656 = 24331928657
BaseRepresentation
bin11100000010100…
…01111100010000
3121101121020121000
432001101330100
5440203413111
635201302000
75554210563
oct1601217420
9541536530
10235216656
11110856834
1266934900
133996786c
142334c4da
15159b3c56
hexe051f10

235216656 has 80 divisors (see below), whose sum is σ = 710718400. Its totient is φ = 74276352.

The previous prime is 235216649. The next prime is 235216669. The reversal of 235216656 is 656612532.

It is a happy number.

235216656 is a `hidden beast` number, since 23 + 521 + 66 + 56 = 666.

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 235216656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6121 + ... + 22536.

It is an arithmetic number, because the mean of its divisors is an integer number (8883980).

Almost surely, 2235216656 is an apocalyptic number.

It is an amenable number.

235216656 is an abundant number, since it is smaller than the sum of its proper divisors (475501744).

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

235216656 is a wasteful number, since it uses less digits than its factorization.

235216656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28693 (or 28681 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 235216656 is about 15336.7746283239. The cubic root of 235216656 is about 617.2901643511.

The spelling of 235216656 in words is "two hundred thirty-five million, two hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 28657 57314 85971 114628 171942 229256 257913 343884 458512 515826 544483 687768 773739 1031652 1088966 1375536 1547478 1633449 2063304 2177932 3094956 3266898 4126608 4355864 4900347 6189912 6533796 8711728 9800694 12379824 13067592 14701041 19601388 26135184 29402082 39202776 58804164 78405552 117608328 235216656