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2112320232 = 2332112376553
BaseRepresentation
bin111110111100111…
…0111001011101000
312110012200222121200
41331321313023220
513311223221412
6545334204200
7103226266011
oct17571671350
95405628550
102112320232
11994393500
124ab4b3660
13278812839
14160776008
15c569c9dc
hex7de772e8

2112320232 has 144 divisors (see below), whose sum is σ = 6459163620. Its totient is φ = 622702080.

The previous prime is 2112320167. The next prime is 2112320257. The reversal of 2112320232 is 2320232112.

2112320232 is a `hidden beast` number, since 2 + 112 + 320 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2067884676 + 44435556 = 45474^2 + 6666^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 319068 + ... + 325620.

Almost surely, 22112320232 is an apocalyptic number.

2112320232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229581810).

2112320232 is an abundant number, since it is smaller than the sum of its proper divisors (4346843388).

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

2112320232 is a wasteful number, since it uses less digits than its factorization.

2112320232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2112320232 is about 45959.9851174911. The cubic root of 2112320232 is about 1283.0785743736.

Adding to 2112320232 its reverse (2320232112), we get a palindrome (4432552344).

The spelling of 2112320232 in words is "two billion, one hundred twelve million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 37 44 66 72 74 88 99 111 121 132 148 198 222 242 264 296 333 363 396 407 444 484 666 726 792 814 888 968 1089 1221 1332 1452 1628 2178 2442 2664 2904 3256 3663 4356 4477 4884 6553 7326 8712 8954 9768 13106 13431 14652 17908 19659 26212 26862 29304 35816 39318 40293 52424 53724 58977 72083 78636 80586 107448 117954 144166 157272 161172 216249 235908 242461 288332 322344 432498 471816 484922 576664 648747 727383 792913 864996 969844 1297494 1454766 1585826 1729992 1939688 2182149 2378739 2594988 2667071 2909532 3171652 4364298 4757478 5189976 5334142 5819064 6343304 7136217 8001213 8728596 9514956 10668284 14272434 16002426 17457192 19029912 21336568 24003639 28544868 29337781 32004852 48007278 57089736 58675562 64009704 88013343 96014556 117351124 176026686 192029112 234702248 264040029 352053372 528080058 704106744 1056160116 2112320232