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212010032 = 24132294451
BaseRepresentation
bin11001010001100…
…00010000110000
3112202221020002102
430220300100300
5413233310112
633012035532
75153025023
oct1450602060
9482836072
10212010032
11a9746303
125b002ba8
1334c00a30
142022b1ba
151392cbc2
hexca30430

212010032 has 40 divisors (see below), whose sum is σ = 444398640. Its totient is φ = 97401600.

The previous prime is 212009989. The next prime is 212010041. The reversal of 212010032 is 230010212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212009995 and 212010022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45407 + ... + 49857.

It is an arithmetic number, because the mean of its divisors is an integer number (11109966).

Almost surely, 2212010032 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 212010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222199320).

212010032 is an abundant number, since it is smaller than the sum of its proper divisors (232388608).

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

212010032 is a wasteful number, since it uses less digits than its factorization.

212010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 212010032 is about 14560.5642747800. The cubic root of 212010032 is about 596.2826009919.

Adding to 212010032 its reverse (230010212), we get a palindrome (442020244).

The spelling of 212010032 in words is "two hundred twelve million, ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 229 458 916 1832 2977 3664 4451 5954 8902 11908 17804 23816 35608 47632 57863 71216 115726 231452 462904 925808 1019279 2038558 4077116 8154232 13250627 16308464 26501254 53002508 106005016 212010032