Search a number
-
+
2297465352 = 2332721350093
BaseRepresentation
bin1000100011110000…
…1000101000001000
312221010002022222100
42020330020220020
514201122342402
61015550353400
7110635063500
oct21074105010
95833068870
102297465352
11a7994a7a6
125414bb860
132a7c98570
1417b1aca00
15d6a7071c
hex88f08a08

2297465352 has 144 divisors (see below), whose sum is σ = 7795127340. Its totient is φ = 605912832.

The previous prime is 2297465341. The next prime is 2297465371. The reversal of 2297465352 is 2535647922.

2297465352 is a `hidden beast` number, since 2 + 297 + 4 + 6 + 5 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1788782436 + 508682916 = 42294^2 + 22554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2297465298 and 2297465307.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20818 + ... + 70910.

Almost surely, 22297465352 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 2297465352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897563670).

2297465352 is an abundant number, since it is smaller than the sum of its proper divisors (5497661988).

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

2297465352 is a wasteful number, since it uses less digits than its factorization.

2297465352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50132 (or 50118 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2297465352 is about 47931.8824166128. The cubic root of 2297465352 is about 1319.5210521352.

The spelling of 2297465352 in words is "two billion, two hundred ninety-seven million, four hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 50093 100186 150279 200372 300558 350651 400744 450837 601116 651209 701302 901674 1051953 1202232 1302418 1402604 1803348 1953627 2103906 2454557 2604836 2805208 3155859 3606696 3907254 4207812 4558463 4909114 5209672 5860881 6311718 7363671 7814508 8415624 9116926 9818228 11721762 12623436 13675389 14727342 15629016 18233852 19636456 22091013 23443524 25246872 27350778 29454684 31909241 36467704 41026167 44182026 46887048 54701556 58909368 63818482 82052334 88364052 95727723 109403112 127636964 164104668 176728104 191455446 255273928 287183169 328209336 382910892 574366338 765821784 1148732676 2297465352