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216871692 = 223231395653
BaseRepresentation
bin11001110110100…
…11001100001100
3120010002020000220
430323103030030
5421004343232
633304151340
75242243662
oct1473231414
9503066026
10216871692
11101466a04
1260768550
1335c1385b
1420b34c32
151408d42c
hexced330c

216871692 has 48 divisors (see below), whose sum is σ = 531928320. Its totient is φ = 68637888.

The previous prime is 216871637. The next prime is 216871693. The reversal of 216871692 is 296178612.

216871692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (216871693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35538 + ... + 41190.

It is an arithmetic number, because the mean of its divisors is an integer number (11081840).

Almost surely, 2216871692 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 216871692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265964160).

216871692 is an abundant number, since it is smaller than the sum of its proper divisors (315056628).

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

216871692 is a wasteful number, since it uses less digits than its factorization.

216871692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5822 (or 5820 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 216871692 is about 14726.5641614057. The cubic root of 216871692 is about 600.8060389061.

The spelling of 216871692 in words is "two hundred sixteen million, eight hundred seventy-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 139 276 278 417 556 834 1668 3197 5653 6394 9591 11306 12788 16959 19182 22612 33918 38364 67836 130019 260038 390057 520076 780114 785767 1560228 1571534 2357301 3143068 4714602 9429204 18072641 36145282 54217923 72290564 108435846 216871692