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212302992 = 24311402089
BaseRepresentation
bin11001010011101…
…11110010010000
3112210111002221210
430221313302100
5413322143432
633022220120
75155355106
oct1451676220
9483432853
10212302992
11a9926420
125b124640
1334ca4195
14202a5c76
15139898cc
hexca77c90

212302992 has 40 divisors (see below), whose sum is σ = 598309920. Its totient is φ = 64334080.

The previous prime is 212302991. The next prime is 212303011. The reversal of 212302992 is 299203212.

It is a happy number.

212302992 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 (30) 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 (212302991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200517 + ... + 201572.

It is an arithmetic number, because the mean of its divisors is an integer number (14957748).

Almost surely, 2212302992 is an apocalyptic number.

212302992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212302992 is an abundant number, since it is smaller than the sum of its proper divisors (386006928).

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

212302992 is a wasteful number, since it uses less digits than its factorization.

212302992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402111 (or 402105 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 212302992 is about 14570.6208515629. The cubic root of 212302992 is about 596.5571266025.

The spelling of 212302992 in words is "two hundred twelve million, three hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 402089 804178 1206267 1608356 2412534 3216712 4422979 4825068 6433424 8845958 9650136 13268937 17691916 19300272 26537874 35383832 53075748 70767664 106151496 212302992