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2122610886 = 2331153191353
BaseRepresentation
bin111111010000100…
…0111100011000110
312110221001210202000
41332201013203012
513321342022021
6550342530130
7103412615634
oct17641074306
95427053660
102122610886
1199a181a80
124b2a36946
1327a9a6796
14161c94354
15c6531b26
hex7e8478c6

2122610886 has 128 divisors (see below), whose sum is σ = 5285191680. Its totient is φ = 625996800.

The previous prime is 2122610881. The next prime is 2122610887. The reversal of 2122610886 is 6880162212.

2122610886 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2122610886.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122610881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6012886 + ... + 6013238.

It is an arithmetic number, because the mean of its divisors is an integer number (41290560).

Almost surely, 22122610886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122610886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642595840).

2122610886 is an abundant number, since it is smaller than the sum of its proper divisors (3162580794).

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

2122610886 is a wasteful number, since it uses less digits than its factorization.

2122610886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

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

The square root of 2122610886 is about 46071.8014190893. The cubic root of 2122610886 is about 1285.1588040753.

The spelling of 2122610886 in words is "two billion, one hundred twenty-two million, six hundred ten thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 191 198 297 318 353 382 477 573 583 594 706 954 1059 1146 1166 1431 1719 1749 2101 2118 2862 3177 3438 3498 3883 4202 5157 5247 6303 6354 7766 9531 10123 10314 10494 11649 12606 15741 18709 18909 19062 20246 23298 30369 31482 34947 37418 37818 56127 56727 60738 67423 69894 91107 104841 111353 112254 113454 134846 168381 182214 202269 205799 209682 222706 273321 334059 336762 404538 411598 505143 546642 606807 617397 668118 741653 1002177 1010286 1213614 1234794 1483306 1820421 1852191 2004354 2224959 3006531 3573419 3640842 3704382 4449918 5556573 6013062 6674877 7146838 10720257 11113146 13349754 20024631 21440514 32160771 39307609 40049262 64321542 78615218 96482313 117922827 192964626 235845654 353768481 707536962 1061305443 2122610886