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211356292 = 227232911317
BaseRepresentation
bin11001001100100…
…00101010000100
3112201201000022211
430212100222010
5413101400132
632550033204
75144333050
oct1446205204
9481630284
10211356292
11a933a124
125a948804
1334a322c4
14200dac60
151384e147
hexc990a84

211356292 has 48 divisors (see below), whose sum is σ = 456341760. Its totient is φ = 83647872.

The previous prime is 211356287. The next prime is 211356331. The reversal of 211356292 is 292653112.

211356292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 13018 + ... + 24334.

It is an arithmetic number, because the mean of its divisors is an integer number (9507120).

Almost surely, 2211356292 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 211356292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228170880).

211356292 is an abundant number, since it is smaller than the sum of its proper divisors (244985468).

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

211356292 is a wasteful number, since it uses less digits than its factorization.

211356292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11380 (or 11378 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 211356292 is about 14538.0979498695. The cubic root of 211356292 is about 595.6690842012.

The spelling of 211356292 in words is "two hundred eleven million, three hundred fifty-six thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 667 812 1334 2668 4669 9338 11317 18676 22634 45268 79219 158438 260291 316876 328193 520582 656386 1041164 1312772 1822037 2297351 3644074 4594702 7288148 7548439 9189404 15096878 30193756 52839073 105678146 211356292