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211355136 = 293315289
BaseRepresentation
bin11001001100100…
…00011000000000
3112201200221202000
430212100120000
5413101331021
632550024000
75144326506
oct1446203000
9481627660
10211355136
11a9339273
125a948000
1334a31915
14200da676
151384db26
hexc990600

211355136 has 80 divisors (see below), whose sum is σ = 625666800. Its totient is φ = 70447104.

The previous prime is 211355129. The next prime is 211355141. The reversal of 211355136 is 631553112.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6180 + ... + 21468.

It is an arithmetic number, because the mean of its divisors is an integer number (7820835).

Almost surely, 2211355136 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 211355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312833400).

211355136 is an abundant number, since it is smaller than the sum of its proper divisors (414311664).

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

211355136 is an equidigital number, since it uses as much as digits as its factorization.

211355136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15316 (or 15294 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 211355136 is about 14538.0581922071. The cubic root of 211355136 is about 595.6679982076.

The spelling of 211355136 in words is "two hundred eleven million, three hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 15289 30578 45867 61156 91734 122312 137601 183468 244624 275202 366936 412803 489248 550404 733872 825606 978496 1100808 1467744 1651212 1956992 2201616 2935488 3302424 3913984 4403232 5870976 6604848 7827968 8806464 11741952 13209696 17612928 23483904 26419392 35225856 52838784 70451712 105677568 211355136