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2152730112 = 2931328293
BaseRepresentation
bin1000000001010000…
…0000111000000000
312120000202000112220
42000110000320000
513402044330422
6553340251040
7104226622041
oct20024007000
95500660486
102152730112
11a05183aa5
12500b40a80
13283cc0b00
14165c948c8
15c8ed0e5c
hex80500e00

2152730112 has 120 divisors (see below), whose sum is σ = 6210845784. Its totient is φ = 662298624.

The previous prime is 2152730101. The next prime is 2152730119. The reversal of 2152730112 is 2110372512.

It is a super-2 number, since 2×21527301122 = 9268493870223065088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152730119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255438 + ... + 263730.

Almost surely, 22152730112 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 2152730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105422892).

2152730112 is an abundant number, since it is smaller than the sum of its proper divisors (4058115672).

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

2152730112 is an equidigital number, since it uses as much as digits as its factorization.

2152730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8311 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 2152730112 is about 46397.5226924887. The cubic root of 2152730112 is about 1291.2089525812.

The spelling of 2152730112 in words is "two billion, one hundred fifty-two million, seven hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 512 624 676 768 832 1014 1248 1352 1536 1664 2028 2496 2704 3328 4056 4992 5408 6656 8112 8293 9984 10816 16224 16586 19968 21632 24879 32448 33172 43264 49758 64896 66344 86528 99516 107809 129792 132688 199032 215618 259584 265376 323427 398064 431236 530752 646854 796128 862472 1061504 1293708 1401517 1592256 1724944 2123008 2587416 2803034 3184512 3449888 4204551 4246016 5174832 5606068 6369024 6899776 8409102 10349664 11212136 12738048 13799552 16818204 20699328 22424272 27599104 33636408 41398656 44848544 55198208 67272816 82797312 89697088 134545632 165594624 179394176 269091264 358788352 538182528 717576704 1076365056 2152730112