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212590992 = 24313133809
BaseRepresentation
bin11001010101111…
…10000110010000
3112211000202000110
430222332012100
5413410402432
633032321320
75160664545
oct1452760620
9484022013
10212590992
11aa002839
125b243240
13350752b3
142033cbcc
15139e4dcc
hexcabe190

212590992 has 40 divisors (see below), whose sum is σ = 553402080. Its totient is φ = 70320640.

The previous prime is 212590991. The next prime is 212590993. The reversal of 212590992 is 299095212.

It is an interprime number because it is at equal distance from previous prime (212590991) and next prime (212590993).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 212590992.

It is not an unprimeable number, because it can be changed into a prime (212590991) 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, 10617 + ... + 23192.

It is an arithmetic number, because the mean of its divisors is an integer number (13835052).

Almost surely, 2212590992 is an apocalyptic number.

It is an amenable number.

212590992 is an abundant number, since it is smaller than the sum of its proper divisors (340811088).

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

212590992 is a wasteful number, since it uses less digits than its factorization.

212590992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33951 (or 33945 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 212590992 is about 14580.5004029354. The cubic root of 212590992 is about 596.8267582585.

The spelling of 212590992 in words is "two hundred twelve million, five hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 33809 67618 101427 135236 202854 270472 405708 540944 811416 1622832 4428979 8857958 13286937 17715916 26573874 35431832 53147748 70863664 106295496 212590992