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211640996 = 22721517151
BaseRepresentation
bin11001001110101…
…10001010100100
3112202020110212102
430213112022210
5413140002441
633000111232
75146630100
oct1447261244
9482213772
10211640996
11a9514016
125aa65518
1334b01a78
1420172900
15138a869b
hexc9d62a4

211640996 has 36 divisors (see below), whose sum is σ = 433754496. Its totient is φ = 90090000.

The previous prime is 211640909. The next prime is 211641011. The reversal of 211640996 is 699046112.

It is a super-2 number, since 2×2116409962 = 89583822375744032, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26021 + ... + 33171.

It is an arithmetic number, because the mean of its divisors is an integer number (12048736).

Almost surely, 2211640996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211640996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216877248).

211640996 is an abundant number, since it is smaller than the sum of its proper divisors (222113500).

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

211640996 is a wasteful number, since it uses less digits than its factorization.

211640996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7311 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 211640996 is about 14547.8863069519. The cubic root of 211640996 is about 595.9364262626.

The spelling of 211640996 in words is "two hundred eleven million, six hundred forty thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 151 196 302 604 1057 2114 4228 7151 7399 14302 14798 28604 29596 50057 100114 200228 350399 700798 1079801 1401596 2159602 4319204 7558607 15117214 30234428 52910249 105820498 211640996