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216113640 = 233515711471
BaseRepresentation
bin11001110000110…
…10000111101000
3120001122201011220
430320122013220
5420311114030
633240022040
75232635631
oct1470320750
9501581156
10216113640
11100a99416
1260461920
1335a097c2
14209b8888
1513e8da10
hexce1a1e8

216113640 has 64 divisors (see below), whose sum is σ = 652527360. Its totient is φ = 57258240.

The previous prime is 216113629. The next prime is 216113647. The reversal of 216113640 is 46311612.

216113640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 216113640.

It is not an unprimeable number, because it can be changed into a prime (216113647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13105 + ... + 24575.

It is an arithmetic number, because the mean of its divisors is an integer number (10195740).

Almost surely, 2216113640 is an apocalyptic number.

216113640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216113640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326263680).

216113640 is an abundant number, since it is smaller than the sum of its proper divisors (436413720).

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

216113640 is a wasteful number, since it uses less digits than its factorization.

216113640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 216113640 is about 14700.8040596425. The cubic root of 216113640 is about 600.1052037748.

The spelling of 216113640 in words is "two hundred sixteen million, one hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 11471 18840 22942 34413 45884 57355 68826 91768 114710 137652 172065 229420 275304 344130 458840 688260 1376520 1800947 3601894 5402841 7203788 9004735 10805682 14407576 18009470 21611364 27014205 36018940 43222728 54028410 72037880 108056820 216113640