Search a number
-
+
2122036672 = 26723415023
BaseRepresentation
bin111111001111011…
…1011010111000000
312110212222122001211
41332132323113000
513321220133142
6550322335504
7103405004560
oct17636732700
95425878054
102122036672
1199991a618
124b27ba594
1327a835302
14161b84da0
15c646b917
hex7e7bb5c0

2122036672 has 112 divisors (see below), whose sum is σ = 5145219072. Its totient is φ = 848517120.

The previous prime is 2122036669. The next prime is 2122036687. The reversal of 2122036672 is 2766302212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419953 + ... + 424975.

It is an arithmetic number, because the mean of its divisors is an integer number (45939456).

Almost surely, 22122036672 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 2122036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572609536).

2122036672 is an abundant number, since it is smaller than the sum of its proper divisors (3023182400).

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

2122036672 is a wasteful number, since it uses less digits than its factorization.

2122036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 2122036672 is about 46065.5692681638. The cubic root of 2122036672 is about 1285.0429055001.

Adding to 2122036672 its reverse (2766302212), we get a palindrome (4888338884).

The spelling of 2122036672 in words is "two billion, one hundred twenty-two million, thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 41 46 56 64 82 92 112 161 164 184 224 287 322 328 368 448 574 644 656 736 943 1148 1288 1312 1472 1886 2296 2576 2624 3772 4592 5023 5152 6601 7544 9184 10046 10304 13202 15088 18368 20092 26404 30176 35161 40184 52808 60352 70322 80368 105616 115529 140644 160736 205943 211232 231058 281288 321472 411886 422464 462116 562576 808703 823772 924232 1125152 1441601 1617406 1647544 1848464 2250304 2883202 3234812 3295088 3696928 4736689 5766404 6469624 6590176 7393856 9473378 11532808 12939248 13180352 18946756 23065616 25878496 33156823 37893512 46131232 51756992 66313646 75787024 92262464 132627292 151574048 265254584 303148096 530509168 1061018336 2122036672