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2193003912 = 2331137347647
BaseRepresentation
bin1000001010110110…
…1001010110001000
312122211112010211010
42002231221112020
513442402111122
61001335403520
7105226140261
oct20255512610
95584463733
102193003912
11a25991330
125125235a0
1328c452168
1416b379968
15cc7d8e0c
hex82b69588

2193003912 has 128 divisors (see below), whose sum is σ = 6169789440. Its totient is φ = 643726080.

The previous prime is 2193003899. The next prime is 2193003919.

It is a happy number.

2193003912 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2193003912.

It is not an unprimeable number, because it can be changed into a prime (2193003919) 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 31 ways as a sum of consecutive naturals, for example, 3389173 + ... + 3389819.

It is an arithmetic number, because the mean of its divisors is an integer number (48201480).

Almost surely, 22193003912 is an apocalyptic number.

2193003912 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 2193003912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084894720).

2193003912 is an abundant number, since it is smaller than the sum of its proper divisors (3976785528).

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

2193003912 is a wasteful number, since it uses less digits than its factorization.

2193003912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2193003912 is about 46829.5196644168. The cubic root of 2193003912 is about 1299.2113386079.

The spelling of 2193003912 in words is "two billion, one hundred ninety-three million, three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 347 407 444 647 694 814 888 1041 1221 1294 1388 1628 1941 2082 2442 2588 2776 3256 3817 3882 4164 4884 5176 7117 7634 7764 8328 9768 11451 12839 14234 15268 15528 21351 22902 23939 25678 28468 30536 38517 42702 45804 47878 51356 56936 71817 77034 85404 91608 95756 102712 141229 143634 154068 170808 191512 224509 263329 282458 287268 308136 423687 449018 526658 564916 574536 673527 789987 847374 898036 1053316 1129832 1347054 1579974 1694748 1796072 2106632 2469599 2694108 3159948 3389496 4939198 5388216 6319896 7408797 8306833 9878396 14817594 16613666 19756792 24920499 29635188 33227332 49840998 59270376 66454664 91375163 99681996 182750326 199363992 274125489 365500652 548250978 731001304 1096501956 2193003912