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212990904 = 23337140867
BaseRepresentation
bin11001011000111…
…11101110111000
3112211210001121000
430230133232320
5414011202104
633045045000
75164251510
oct1454375670
9484701530
10212990904
11aa256245
125b3b6760
1335185329
1420404840
1513a73639
hexcb1fbb8

212990904 has 64 divisors (see below), whose sum is σ = 676166400. Its totient is φ = 60854112.

The previous prime is 212990891. The next prime is 212990927. The reversal of 212990904 is 409099212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 68922 + ... + 71945.

It is an arithmetic number, because the mean of its divisors is an integer number (10565100).

Almost surely, 2212990904 is an apocalyptic number.

212990904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212990904 is an abundant number, since it is smaller than the sum of its proper divisors (463175496).

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

212990904 is a wasteful number, since it uses less digits than its factorization.

212990904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140889 (or 140879 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 212990904 is about 14594.2078921742. The cubic root of 212990904 is about 597.2007607420.

The spelling of 212990904 in words is "two hundred twelve million, nine hundred ninety thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 140867 281734 422601 563468 845202 986069 1126936 1267803 1690404 1972138 2535606 2958207 3380808 3803409 3944276 5071212 5916414 7606818 7888552 8874621 10142424 11832828 15213636 17749242 23665656 26623863 30427272 35498484 53247726 70996968 106495452 212990904