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216255636 = 22332278821
BaseRepresentation
bin11001110001111…
…00110010010100
3120001220220222000
430320330302110
5420330140021
633243035300
75234066622
oct1470746224
9501826860
10216255636
11101086073
126050bb30
1335a5931c
1420a14512
1513ebab26
hexce3cc94

216255636 has 48 divisors (see below), whose sum is σ = 563196480. Its totient is φ = 71759520.

The previous prime is 216255631. The next prime is 216255661. The reversal of 216255636 is 636552612.

It is a happy number.

216255636 is a `hidden beast` number, since 2 + 16 + 2 + 5 + 5 + 636 = 666.

216255636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 216255636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216255631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20106 + ... + 28926.

It is an arithmetic number, because the mean of its divisors is an integer number (11733260).

Almost surely, 2216255636 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 216255636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281598240).

216255636 is an abundant number, since it is smaller than the sum of its proper divisors (346940844).

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

216255636 is a wasteful number, since it uses less digits than its factorization.

216255636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9053 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 216255636 is about 14705.6327983532. The cubic root of 216255636 is about 600.2366066832.

It can be divided in two parts, 21625 and 5636, that added together give a triangular number (27261 = T233).

The spelling of 216255636 in words is "two hundred sixteen million, two hundred fifty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 908 1362 2043 2724 4086 6129 8172 8821 12258 17642 24516 26463 35284 52926 79389 105852 158778 238167 317556 476334 952668 2002367 4004734 6007101 8009468 12014202 18021303 24028404 36042606 54063909 72085212 108127818 216255636