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211990072 = 23724791129
BaseRepresentation
bin11001010001010…
…11011000111000
3112202220012201011
430220223120320
5413232140242
633011403304
75152612600
oct1450533070
9482805634
10211990072
11a9732308
125abb3534
1334bc4918
1420223c00
1513926d17
hexca2b638

211990072 has 48 divisors (see below), whose sum is σ = 463752000. Its totient is φ = 90582912.

The previous prime is 211990063. The next prime is 211990099. The reversal of 211990072 is 270099112.

It is a congruent number.

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, 187204 + ... + 188332.

It is an arithmetic number, because the mean of its divisors is an integer number (9661500).

Almost surely, 2211990072 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 211990072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231876000).

211990072 is an abundant number, since it is smaller than the sum of its proper divisors (251761928).

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

211990072 is a wasteful number, since it uses less digits than its factorization.

211990072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 211990072 is about 14559.8788456498. The cubic root of 211990072 is about 596.2638877670.

The spelling of 211990072 in words is "two hundred eleven million, nine hundred ninety thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 479 958 1129 1916 2258 3353 3832 4516 6706 7903 9032 13412 15806 23471 26824 31612 46942 55321 63224 93884 110642 187768 221284 442568 540791 1081582 2163164 3785537 4326328 7571074 15142148 26498759 30284296 52997518 105995036 211990072