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210531312 = 2435173313
BaseRepresentation
bin11001000110001…
…11001111110000
3112200011002200000
430203013033300
5412344000222
632520230000
75134325625
oct1443071760
9480132600
10210531312
11a8926322
125a60b300
1334803954
141dd6434c
15137399ac
hexc8c73f0

210531312 has 120 divisors (see below), whose sum is σ = 616512624. Its totient is φ = 69548544.

The previous prime is 210531301. The next prime is 210531337. The reversal of 210531312 is 213135012.

210531312 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 (18).

It is a zygodrome in base 3.

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, 672468 + ... + 672780.

Almost surely, 2210531312 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 210531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308256312).

210531312 is an abundant number, since it is smaller than the sum of its proper divisors (405981312).

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

210531312 is a wasteful number, since it uses less digits than its factorization.

210531312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 210531312 is about 14509.6971712024. The cubic root of 210531312 is about 594.8930551852.

Adding to 210531312 its reverse (213135012), we get a palindrome (423666324).

The spelling of 210531312 in words is "two hundred ten million, five hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 243 313 324 346 432 486 519 626 648 692 939 972 1038 1252 1296 1384 1557 1878 1944 2076 2504 2768 2817 3114 3756 3888 4152 4671 5008 5634 6228 7512 8304 8451 9342 11268 12456 14013 15024 16902 18684 22536 24912 25353 28026 33804 37368 42039 45072 50706 54149 56052 67608 74736 76059 84078 101412 108298 112104 135216 152118 162447 168156 202824 216596 224208 304236 324894 336312 405648 433192 487341 608472 649788 672624 866384 974682 1216944 1299576 1462023 1949364 2599152 2924046 3898728 4386069 5848092 7797456 8772138 11696184 13158207 17544276 23392368 26316414 35088552 52632828 70177104 105265656 210531312