Search a number
-
+
213461892 = 22357137229
BaseRepresentation
bin11001011100100…
…10101110000100
3112212122222200000
430232102232010
5414121240032
633103121300
75201252610
oct1456225604
9485588600
10213461892
11aa548096
125b5a3230
13352bb817
14204c8340
1513b17e7c
hexcb92b84

213461892 has 144 divisors (see below), whose sum is σ = 646988160. Its totient is φ = 60279552.

The previous prime is 213461879. The next prime is 213461923. The reversal of 213461892 is 298164312.

213461892 is a `hidden beast` number, since 2 + 1 + 34 + 618 + 9 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 932034 + ... + 932262.

Almost surely, 2213461892 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 213461892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323494080).

213461892 is an abundant number, since it is smaller than the sum of its proper divisors (433526268).

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

213461892 is a wasteful number, since it uses less digits than its factorization.

213461892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 213461892 is about 14610.3351090932. The cubic root of 213461892 is about 597.6406344847.

The spelling of 213461892 in words is "two hundred thirteen million, four hundred sixty-one thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 137 162 189 229 243 252 274 324 378 411 458 486 548 567 687 756 822 916 959 972 1134 1233 1374 1603 1644 1701 1918 2061 2268 2466 2748 2877 3206 3402 3699 3836 4122 4809 4932 5754 6183 6412 6804 7398 8244 8631 9618 11097 11508 12366 14427 14796 17262 18549 19236 22194 24732 25893 28854 31373 33291 34524 37098 43281 44388 51786 55647 57708 62746 66582 74196 77679 86562 94119 103572 111294 125492 129843 133164 155358 173124 188238 219611 222588 233037 259686 282357 310716 376476 389529 439222 466074 519372 564714 658833 779058 847071 878444 932148 1129428 1317666 1558116 1694142 1976499 2541213 2635332 3388284 3952998 5082426 5929497 7623639 7905996 10164852 11858994 15247278 17788491 23717988 30494556 35576982 53365473 71153964 106730946 213461892