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213231888 = 243231371291
BaseRepresentation
bin11001011010110…
…10100100010000
3112212020022011100
430231122210100
5414041410023
633054144400
75166304212
oct1455324420
9485208140
10213231888
11aa400301
125b4b2100
133523ac1c
14204685b2
1513abec43
hexcb5a910

213231888 has 120 divisors (see below), whose sum is σ = 633142016. Its totient is φ = 66873600.

The previous prime is 213231881. The next prime is 213231911. The reversal of 213231888 is 888132312.

213231888 is digitally balanced in base 3, 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (213231881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164523 + ... + 165813.

Almost surely, 2213231888 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 213231888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316571008).

213231888 is an abundant number, since it is smaller than the sum of its proper divisors (419910128).

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

213231888 is a wasteful number, since it uses less digits than its factorization.

213231888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 213231888 is about 14602.4617102734. The cubic root of 213231888 is about 597.4259058580.

The spelling of 213231888 in words is "two hundred thirteen million, two hundred thirty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 1116 1147 1291 1332 1488 1776 2232 2294 2582 2664 3441 3873 4464 4588 5164 5328 6882 7746 9176 10323 10328 11619 13764 15492 18352 20646 20656 23238 27528 30984 40021 41292 46476 47767 55056 61968 80042 82584 92952 95534 120063 143301 160084 165168 185904 191068 240126 286602 320168 360189 382136 429903 480252 573204 640336 720378 764272 859806 960504 1146408 1440756 1480777 1719612 1921008 2292816 2881512 2961554 3439224 4442331 5763024 5923108 6878448 8884662 11846216 13326993 17769324 23692432 26653986 35538648 53307972 71077296 106615944 213231888