Search a number
-
+
225318107712 = 2631799769239
BaseRepresentation
bin1101000111011000000…
…0010111101001000000
3210112120210202211001110
43101312000113221000
512142422413421322
6251302033003320
722164410213055
oct3216600275100
9715523684043
10225318107712
118761421a265
12378026b3540
131832a7234b9
14ac967d302c
155cdb030c0c
hex3476017a40

225318107712 has 112 divisors (see below), whose sum is σ = 631864298880. Its totient is φ = 70616113152.

The previous prime is 225318107701. The next prime is 225318107713. The reversal of 225318107712 is 217701813522.

It is not an unprimeable number, because it can be changed into a prime (225318107713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3219589 + ... + 3288827.

Almost surely, 2225318107712 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 225318107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315932149440).

225318107712 is an abundant number, since it is smaller than the sum of its proper divisors (406546191168).

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

225318107712 is a wasteful number, since it uses less digits than its factorization.

225318107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70268 (or 70258 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 225318107712 in words is "two hundred twenty-five billion, three hundred eighteen million, one hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 997 1088 1632 1994 2991 3264 3988 5982 7976 11964 15952 16949 23928 31904 33898 47856 50847 63808 67796 69239 95712 101694 135592 138478 191424 203388 207717 271184 276956 406776 415434 542368 553912 813552 830868 1084736 1107824 1177063 1627104 1661736 2215648 2354126 3254208 3323472 3531189 4431296 4708252 6646944 7062378 9416504 13293888 14124756 18833008 28249512 37666016 56499024 69031283 75332032 112998048 138062566 207093849 225996096 276125132 414187698 552250264 828375396 1104500528 1173531811 1656750792 2209001056 2347063622 3313501584 3520595433 4418002112 4694127244 6627003168 7041190866 9388254488 13254006336 14082381732 18776508976 28164763464 37553017952 56329526928 75106035904 112659053856 225318107712