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212832390 = 2357094413
BaseRepresentation
bin11001010111110…
…01000010000110
3112211111000011010
430223321002012
5413441114030
633041423050
75163021411
oct1453710206
9484430133
10212832390
11aa158141
125b33aa86
133512b134
14203a2b78
1513a416b0
hexcaf9086

212832390 has 16 divisors (see below), whose sum is σ = 510797808. Its totient is φ = 56755296.

The previous prime is 212832349. The next prime is 212832397. The reversal of 212832390 is 93238212.

It is a happy number.

It is a super-2 number, since 2×2128323902 = 90595252466224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 7094413 = 212832390 / (2 + 1 + 2 + 8 + 3 + 2 + 3 + 9 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212832397) 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 7 ways as a sum of consecutive naturals, for example, 3547177 + ... + 3547236.

It is an arithmetic number, because the mean of its divisors is an integer number (31924863).

Almost surely, 2212832390 is an apocalyptic number.

212832390 is an abundant number, since it is smaller than the sum of its proper divisors (297965418).

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

212832390 is a wasteful number, since it uses less digits than its factorization.

212832390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7094423.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 212832390 is about 14588.7761652580. The cubic root of 212832390 is about 597.0525726060.

The spelling of 212832390 in words is "two hundred twelve million, eight hundred thirty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 7094413 14188826 21283239 35472065 42566478 70944130 106416195 212832390