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216115290 = 2345367727
BaseRepresentation
bin11001110000110…
…10100001011010
3120001122210110000
430320122201122
5420311142130
633240033430
75232643506
oct1470324132
9501583400
10216115290
11100a9a686
1260462876
1335a0a491
14209b9306
1513e8e260
hexce1a85a

216115290 has 80 divisors (see below), whose sum is σ = 583494912. Its totient is φ = 57394656.

The previous prime is 216115247. The next prime is 216115297. The reversal of 216115290 is 92511612.

216115290 is a `hidden beast` number, since 21 + 611 + 5 + 29 + 0 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (216115297) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 296907 + ... + 297633.

Almost surely, 2216115290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216115290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291747456).

216115290 is an abundant number, since it is smaller than the sum of its proper divisors (367379622).

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

216115290 is a wasteful number, since it uses less digits than its factorization.

216115290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 216115290 is about 14700.8601789147. The cubic root of 216115290 is about 600.1067310130.

The spelling of 216115290 in words is "two hundred sixteen million, one hundred fifteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 367 405 727 734 810 1101 1454 1835 2181 2202 3303 3635 3670 4362 5505 6543 6606 7270 9909 10905 11010 13086 16515 19629 19818 21810 29727 32715 33030 39258 49545 58887 59454 65430 98145 99090 117774 148635 196290 266809 294435 297270 533618 588870 800427 1334045 1600854 2401281 2668090 4002135 4802562 7203843 8004270 12006405 14407686 21611529 24012810 36019215 43223058 72038430 108057645 216115290