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213670912 = 2107132293
BaseRepresentation
bin11001011110001…
…01110000000000
3112220001121101111
430233011300000
5414144432122
633111413104
75203113160
oct1457056000
9486047344
10213670912
11aa680134
125b684194
13353629c0
14205405a0
1513b59d77
hexcbc5c00

213670912 has 88 divisors (see below), whose sum is σ = 525931616. Its totient is φ = 84492288.

The previous prime is 213670901. The next prime is 213670937. The reversal of 213670912 is 219076312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92038 + ... + 94330.

Almost surely, 2213670912 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 213670912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262965808).

213670912 is an abundant number, since it is smaller than the sum of its proper divisors (312260704).

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

213670912 is a wasteful number, since it uses less digits than its factorization.

213670912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 213670912 is about 14617.4865144456. The cubic root of 213670912 is about 597.8356389939.

The spelling of 213670912 in words is "two hundred thirteen million, six hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2293 2912 3328 3584 4586 5824 6656 7168 9172 11648 13312 16051 18344 23296 29809 32102 36688 46592 59618 64204 73376 93184 119236 128408 146752 208663 238472 256816 293504 417326 476944 513632 587008 834652 953888 1027264 1174016 1669304 1907776 2054528 2348032 3338608 3815552 4109056 6677216 7631104 8218112 13354432 15262208 16436224 26708864 30524416 53417728 106835456 213670912