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216311460 = 223515722963
BaseRepresentation
bin11001110010010…
…10011010100100
3120002000202112120
430321022122210
5420333431320
633244145540
75234421441
oct1471123244
9502022476
10216311460
11101114002
12605382b0
1335a78861
1420a2a9c8
1513ecc440
hexce4a6a4

216311460 has 48 divisors (see below), whose sum is σ = 609556416. Its totient is φ = 57313152.

The previous prime is 216311453. The next prime is 216311461. The reversal of 216311460 is 64113612.

It is a self number, because there is not a number n which added to its sum of digits gives 216311460.

It is not an unprimeable number, because it can be changed into a prime (216311461) 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, 2062 + ... + 20901.

It is an arithmetic number, because the mean of its divisors is an integer number (12699092).

Almost surely, 2216311460 is an apocalyptic number.

216311460 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 216311460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304778208).

216311460 is an abundant number, since it is smaller than the sum of its proper divisors (393244956).

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

216311460 is a wasteful number, since it uses less digits than its factorization.

216311460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23132 (or 23130 counting only the distinct ones).

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

The square root of 216311460 is about 14707.5307240883. The cubic root of 216311460 is about 600.2882503862.

The spelling of 216311460 in words is "two hundred sixteen million, three hundred eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 9420 22963 45926 68889 91852 114815 137778 229630 275556 344445 459260 688890 1377780 3605191 7210382 10815573 14420764 18025955 21631146 36051910 43262292 54077865 72103820 108155730 216311460