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2116226088 = 23346779617
BaseRepresentation
bin111111000100011…
…0000110000101000
312110111001102110000
41332020300300220
513313223213323
6545554023000
7103304424234
oct17610606050
95414042400
102116226088
11996610a89
124b0877a60
1327957c5b2
141610b15c4
15c5bbee43
hex7e230c28

2116226088 has 160 divisors (see below), whose sum is σ = 6101884800. Its totient is φ = 684972288.

The previous prime is 2116226087. The next prime is 2116226093. The reversal of 2116226088 is 8806226112.

2116226088 is a `hidden beast` number, since 21 + 1 + 6 + 22 + 608 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2116226083) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3429556 + ... + 3430172.

It is an arithmetic number, because the mean of its divisors is an integer number (38136780).

Almost surely, 22116226088 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 2116226088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050942400).

2116226088 is an abundant number, since it is smaller than the sum of its proper divisors (3985658712).

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

2116226088 is a wasteful number, since it uses less digits than its factorization.

2116226088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2116226088 is about 46002.4574126209. The cubic root of 2116226088 is about 1283.8689271391.

The spelling of 2116226088 in words is "two billion, one hundred sixteen million, two hundred twenty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 79 81 108 134 158 162 201 216 237 268 316 324 402 474 536 603 617 632 648 711 804 948 1206 1234 1422 1608 1809 1851 1896 2133 2412 2468 2844 3618 3702 4266 4824 4936 5293 5427 5553 5688 6399 7236 7404 8532 10586 10854 11106 12798 14472 14808 15879 16659 17064 21172 21708 22212 25596 31758 33318 41339 42344 43416 44424 47637 48743 49977 51192 63516 66636 82678 95274 97486 99954 124017 127032 133272 142911 146229 165356 190548 194972 199908 248034 285822 292458 330712 372051 381096 389944 399816 428733 438687 496068 571644 584916 744102 857466 877374 992136 1116153 1143288 1169832 1316061 1488204 1714932 1754748 2232306 2632122 2976408 3265781 3348459 3429864 3509496 3948183 4464612 5264244 6531562 6696918 7896366 8929224 9797343 10528488 13063124 13393836 15792732 19594686 26126248 26787672 29392029 31585464 39189372 58784058 78378744 88176087 117568116 176352174 235136232 264528261 352704348 529056522 705408696 1058113044 2116226088