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212311032 = 23337475087
BaseRepresentation
bin11001010011110…
…01101111111000
3112210111111222120
430221321233320
5413322423112
633022321240
75155420413
oct1451715770
9483444876
10212311032
11a993146a
125b129220
1334ca7a3b
14202a8b7a
151398be8c
hexca79bf8

212311032 has 64 divisors (see below), whose sum is σ = 556830720. Its totient is φ = 67379328.

The previous prime is 212311019. The next prime is 212311039. The reversal of 212311032 is 230113212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212311039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39193 + ... + 44279.

It is an arithmetic number, because the mean of its divisors is an integer number (8700480).

Almost surely, 2212311032 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 212311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278415360).

212311032 is an abundant number, since it is smaller than the sum of its proper divisors (344519688).

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

212311032 is a wasteful number, since it uses less digits than its factorization.

212311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 212311032 is about 14570.8967465973. The cubic root of 212311032 is about 596.5646571271.

Adding to 212311032 its reverse (230113212), we get a palindrome (442424244).

The spelling of 212311032 in words is "two hundred twelve million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 47 74 94 111 141 148 188 222 282 296 376 444 564 888 1128 1739 3478 5087 5217 6956 10174 10434 13912 15261 20348 20868 30522 40696 41736 61044 122088 188219 239089 376438 478178 564657 717267 752876 956356 1129314 1434534 1505752 1912712 2258628 2869068 4517256 5738136 8846293 17692586 26538879 35385172 53077758 70770344 106155516 212311032