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211390088 = 237131392089
BaseRepresentation
bin11001001100110…
…00111010001000
3112201202201200112
430212120322020
5413103440323
632550453452
75144533430
oct1446307210
9481681615
10211390088
11a9362558
125a964288
1334a447c0
14201092c0
1513859178
hexc998e88

211390088 has 64 divisors (see below), whose sum is σ = 491568000. Its totient is φ = 82985472.

The previous prime is 211390073. The next prime is 211390111. The reversal of 211390088 is 880093112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100148 + ... + 102236.

It is an arithmetic number, because the mean of its divisors is an integer number (7680750).

Almost surely, 2211390088 is an apocalyptic number.

211390088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211390088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245784000).

211390088 is an abundant number, since it is smaller than the sum of its proper divisors (280177912).

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

211390088 is a wasteful number, since it uses less digits than its factorization.

211390088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 211390088 is about 14539.2602287737. The cubic root of 211390088 is about 595.7008317924.

The spelling of 211390088 in words is "two hundred eleven million, three hundred ninety thousand, eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 139 182 278 364 556 728 973 1112 1807 1946 2089 3614 3892 4178 7228 7784 8356 12649 14456 14623 16712 25298 27157 29246 50596 54314 58492 101192 108628 116984 190099 217256 290371 380198 580742 760396 1161484 1520792 2032597 2322968 3774823 4065194 7549646 8130388 15099292 16260776 26423761 30198584 52847522 105695044 211390088