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212081952 = 25319116273
BaseRepresentation
bin11001010010000…
…01110100100000
3112210001212202010
430221001310200
5413243110302
633013352520
75153444505
oct1451016440
9483055663
10212081952
11a9795345
125b038740
1334c276a4
14202494ac
151394416c
hexca41d20

212081952 has 48 divisors (see below), whose sum is σ = 586020960. Its totient is φ = 66972672.

The previous prime is 212081951. The next prime is 212081963. The reversal of 212081952 is 259180212.

212081952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (212081951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56313 + ... + 59960.

It is an arithmetic number, because the mean of its divisors is an integer number (12208770).

Almost surely, 2212081952 is an apocalyptic number.

It is an amenable number.

212081952 is an abundant number, since it is smaller than the sum of its proper divisors (373939008).

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

212081952 is a wasteful number, since it uses less digits than its factorization.

212081952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116305 (or 116297 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 212081952 is about 14563.0337498751. The cubic root of 212081952 is about 596.3500188651.

The spelling of 212081952 in words is "two hundred twelve million, eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 116273 232546 348819 465092 697638 930184 1395276 1860368 2209187 2790552 3720736 4418374 5581104 6627561 8836748 11162208 13255122 17673496 26510244 35346992 53020488 70693984 106040976 212081952