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216054132 = 223721093371
BaseRepresentation
bin11001110000010…
…11100101110100
3120001112200112220
430320023211310
5420302213012
633234442340
75232300300
oct1470134564
9501480486
10216054132
11100a58738
12604333b0
13359b86a8
14209a0d00
1513e7b08c
hexce0b974

216054132 has 72 divisors (see below), whose sum is σ = 591988320. Its totient is φ = 61145280.

The previous prime is 216054127. The next prime is 216054151. The reversal of 216054132 is 231450612.

216054132 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62407 + ... + 65777.

It is an arithmetic number, because the mean of its divisors is an integer number (8222060).

Almost surely, 2216054132 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 216054132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295994160).

216054132 is an abundant number, since it is smaller than the sum of its proper divisors (375934188).

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

216054132 is a wasteful number, since it uses less digits than its factorization.

216054132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 216054132 is about 14698.7799493699. The cubic root of 216054132 is about 600.0501180357.

The spelling of 216054132 in words is "two hundred sixteen million, fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 109 147 196 218 294 327 436 588 654 763 1308 1526 2289 3052 3371 4578 5341 6742 9156 10113 10682 13484 16023 20226 21364 23597 32046 40452 47194 64092 70791 94388 141582 165179 283164 330358 367439 495537 660716 734878 991074 1102317 1469756 1982148 2204634 2572073 4409268 5144146 7716219 10288292 15432438 18004511 30864876 36009022 54013533 72018044 108027066 216054132