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2245115145 = 357132196659
BaseRepresentation
bin1000010111010001…
…1011110100001001
312210110120122222210
42011310123310021
514044222141040
61010440335333
7106431110130
oct20564336411
95713518883
102245115145
11a52344269
12527a74549
1329a199500
14174262917
15d217e480
hex85d1bd09

2245115145 has 96 divisors (see below), whose sum is σ = 4680115200. Its totient is φ = 897391872.

The previous prime is 2245115143. The next prime is 2245115161. The reversal of 2245115145 is 5415115422.

It is not a de Polignac number, because 2245115145 - 21 = 2245115143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2245115143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333826 + ... + 340484.

It is an arithmetic number, because the mean of its divisors is an integer number (48751200).

Almost surely, 22245115145 is an apocalyptic number.

It is an amenable number.

2245115145 is an abundant number, since it is smaller than the sum of its proper divisors (2435000055).

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

2245115145 is a wasteful number, since it uses less digits than its factorization.

2245115145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719 (or 6706 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 2245115145 is about 47382.6460320654. The cubic root of 2245115145 is about 1309.4217180355.

The spelling of 2245115145 in words is "two billion, two hundred forty-five million, one hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 91 95 105 133 169 195 247 273 285 399 455 507 665 741 845 1183 1235 1365 1729 1995 2535 3211 3549 3705 5187 5915 6659 8645 9633 16055 17745 19977 22477 25935 33295 46613 48165 67431 86567 99885 112385 126521 139839 233065 259701 337155 379563 432835 605969 632605 699195 885647 1125371 1298505 1644773 1817907 1897815 2656941 3029845 3376113 4428235 4934319 5626855 7877597 8223865 9089535 11513411 13284705 16880565 21382049 23632791 24671595 34540233 39387985 57567055 64146147 106910245 118163955 149674343 172701165 320730735 449023029 748371715 2245115145