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211295296 = 26232792
BaseRepresentation
bin11001001100000…
…01110001000000
3112201120220122201
430212001301000
5413042422141
632544442544
75143660162
oct1446016100
9481526581
10211295296
11a92a8313
125a919454
1334a10604
14200c2932
151383b031
hexc981c40

211295296 has 63 divisors (see below), whose sum is σ = 443930151. Its totient is φ = 99775104.

The previous prime is 211295291. The next prime is 211295299. The reversal of 211295296 is 692592112.

The square root of 211295296 is 14536.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2112952962 = 89291404223455232, which contains 22 as substring.

Its product of digits (19440) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (211295291) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2674585 + ... + 2674663.

Almost surely, 2211295296 is an apocalyptic number.

211295296 is the 14536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211295296

211295296 is an abundant number, since it is smaller than the sum of its proper divisors (232634855).

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

211295296 is an frugal number, since it uses more digits than its factorization.

211295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 104 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The cubic root of 211295296 is about 595.6117766616.

The spelling of 211295296 in words is "two hundred eleven million, two hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 158 184 316 368 529 632 736 1058 1264 1472 1817 2116 2528 3634 4232 5056 6241 7268 8464 12482 14536 16928 24964 29072 33856 41791 49928 58144 83582 99856 116288 143543 167164 199712 287086 334328 399424 574172 668656 1148344 1337312 2296688 2674624 3301489 4593376 6602978 9186752 13205956 26411912 52823824 105647648 211295296