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211063968 = 253527143
BaseRepresentation
bin11001001010010…
…01010010100000
3112201011011100000
430211021102200
5413013021333
632535500000
75142004563
oct1445112240
9481134300
10211063968
11a915a535
125a827600
133495c22b
14200624da
15137e2713
hexc9494a0

211063968 has 72 divisors (see below), whose sum is σ = 622466208. Its totient is φ = 70352064.

The previous prime is 211063921. The next prime is 211063969. The reversal of 211063968 is 869360112.

211063968 is a `hidden beast` number, since 2 + 1 + 10 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (211063969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5796 + ... + 21347.

It is an arithmetic number, because the mean of its divisors is an integer number (8645364).

Almost surely, 2211063968 is an apocalyptic number.

It is an amenable number.

211063968 is an abundant number, since it is smaller than the sum of its proper divisors (411402240).

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

211063968 is an equidigital number, since it uses as much as digits as its factorization.

211063968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27168 (or 27148 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 211063968 is about 14528.0407488415. The cubic root of 211063968 is about 595.3943369050.

The spelling of 211063968 in words is "two hundred eleven million, sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 27143 54286 81429 108572 162858 217144 244287 325716 434288 488574 651432 732861 868576 977148 1302864 1465722 1954296 2198583 2605728 2931444 3908592 4397166 5862888 6595749 7817184 8794332 11725776 13191498 17588664 23451552 26382996 35177328 52765992 70354656 105531984 211063968