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216090936 = 23339071103
BaseRepresentation
bin11001110000101…
…00100100111000
3120001121120001000
430320110210320
5420304402221
633235325000
75232512505
oct1470244470
9501546030
10216090936
11100a83356
1260450760
13359cc379
14209b04ac
1513e86e26
hexce14938

216090936 has 64 divisors (see below), whose sum is σ = 601459200. Its totient is φ = 71885664.

The previous prime is 216090923. The next prime is 216090937. The reversal of 216090936 is 639090612.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 216090936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216090937) 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, 195361 + ... + 196463.

It is an arithmetic number, because the mean of its divisors is an integer number (9397800).

Almost surely, 2216090936 is an apocalyptic number.

It is an amenable number.

216090936 is an abundant number, since it is smaller than the sum of its proper divisors (385368264).

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

216090936 is a wasteful number, since it uses less digits than its factorization.

216090936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 216090936 is about 14700.0318367002. The cubic root of 216090936 is about 600.0841881867.

It can be divided in two parts, 2160 and 90936, that added together give a triangular number (93096 = T431).

The spelling of 216090936 in words is "two hundred sixteen million, ninety thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 907 1103 1814 2206 2721 3309 3628 4412 5442 6618 7256 8163 8824 9927 10884 13236 16326 19854 21768 24489 26472 29781 32652 39708 48978 59562 65304 79416 97956 119124 195912 238248 1000421 2000842 3001263 4001684 6002526 8003368 9003789 12005052 18007578 24010104 27011367 36015156 54022734 72030312 108045468 216090936