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211250442 = 231329611531
BaseRepresentation
bin11001001011101…
…10110100001010
3112201111122010110
430211312310022
5413040003232
632543455150
75143412334
oct1445666412
9481448113
10211250442
11a9277647
125a8b74b6
13349c6080
14200b0454
151382cacc
hexc976d0a

211250442 has 64 divisors (see below), whose sum is σ = 478719360. Its totient is φ = 61689600.

The previous prime is 211250411. The next prime is 211250467. The reversal of 211250442 is 244052112.

211250442 is digitally balanced in base 2, 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 31 ways as a sum of consecutive naturals, for example, 137217 + ... + 138747.

It is an arithmetic number, because the mean of its divisors is an integer number (7479990).

Almost surely, 2211250442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211250442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239359680).

211250442 is an abundant number, since it is smaller than the sum of its proper divisors (267468918).

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

211250442 is a wasteful number, since it uses less digits than its factorization.

211250442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 211250442 is about 14534.4570590029. The cubic root of 211250442 is about 595.5696279693.

The spelling of 211250442 in words is "two hundred eleven million, two hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 29 39 58 61 78 87 122 174 183 366 377 754 793 1131 1531 1586 1769 2262 2379 3062 3538 4593 4758 5307 9186 10614 19903 22997 39806 44399 45994 59709 68991 88798 93391 119418 133197 137982 186782 266394 280173 560346 577187 1154374 1214083 1731561 2428166 2708339 3463122 3642249 5416678 7284498 8125017 16250034 35208407 70416814 105625221 211250442