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216064656 = 243219157503
BaseRepresentation
bin11001110000011…
…10001010010000
3120001120012222200
430320032022100
5420303032111
633235003200
75232343053
oct1470161220
9501505880
10216064656
11100a65635
1260439500
13359c0412
14209a4a9a
1513e7e256
hexce0e290

216064656 has 120 divisors (see below), whose sum is σ = 641833920. Its totient is φ = 67661568.

The previous prime is 216064649. The next prime is 216064657. The reversal of 216064656 is 656460612.

It is a happy number.

216064656 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 646 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 216064656.

It is not an unprimeable number, because it can be changed into a prime (216064657) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 429301 + ... + 429803.

It is an arithmetic number, because the mean of its divisors is an integer number (5348616).

Almost surely, 2216064656 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 216064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320916960).

216064656 is an abundant number, since it is smaller than the sum of its proper divisors (425769264).

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

216064656 is a wasteful number, since it uses less digits than its factorization.

216064656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 216064656 is about 14699.1379339062. The cubic root of 216064656 is about 600.0598606943.

It can be divided in two parts, 21606 and 4656, that added together give a palindrome (26262).

The spelling of 216064656 in words is "two hundred sixteen million, sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 157 171 228 304 314 342 456 471 503 628 684 912 942 1006 1256 1368 1413 1509 1884 2012 2512 2736 2826 2983 3018 3768 4024 4527 5652 5966 6036 7536 8048 8949 9054 9557 11304 11932 12072 17898 18108 19114 22608 23864 24144 26847 28671 35796 36216 38228 47728 53694 57342 71592 72432 76456 78971 86013 107388 114684 143184 152912 157942 172026 214776 229368 236913 315884 344052 429552 458736 473826 631768 688104 710739 947652 1263536 1376208 1421478 1500449 1895304 2842956 3000898 3790608 4501347 5685912 6001796 9002694 11371824 12003592 13504041 18005388 24007184 27008082 36010776 54016164 72021552 108032328 216064656