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2225460460 = 2253753179317
BaseRepresentation
bin1000010010100101…
…1101010011101100
312202002121002211111
42010221131103230
514024204213320
61004455201404
7106102046626
oct20451352354
95662532744
102225460460
11a4223a423
12521376264
132960a7312
141717c7c16
15d059aa5a
hex84a5d4ec

2225460460 has 96 divisors (see below), whose sum is σ = 4933172160. Its totient is φ = 842370048.

The previous prime is 2225460451. The next prime is 2225460527. The reversal of 2225460460 is 640645222.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7020222 + ... + 7020538.

It is an arithmetic number, because the mean of its divisors is an integer number (51387210).

Almost surely, 22225460460 is an apocalyptic number.

2225460460 is a gapful number since it is divisible by the number (20) 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 2225460460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466586080).

2225460460 is an abundant number, since it is smaller than the sum of its proper divisors (2707711700).

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

2225460460 is a wasteful number, since it uses less digits than its factorization.

2225460460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2225460460 is about 47174.7862740257. The cubic root of 2225460460 is about 1305.5894363630.

The spelling of 2225460460 in words is "two billion, two hundred twenty-five million, four hundred sixty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 53 74 106 148 179 185 212 265 317 358 370 530 634 716 740 895 1060 1268 1585 1790 1961 3170 3580 3922 6340 6623 7844 9487 9805 11729 13246 16801 18974 19610 23458 26492 33115 33602 37948 39220 46916 47435 56743 58645 66230 67204 84005 94870 113486 117290 132460 168010 189740 226972 234580 283715 336020 351019 567430 621637 702038 1134860 1243274 1404076 1755095 2099491 2486548 3007379 3108185 3510190 4198982 6014758 6216370 7020380 8397964 10497455 12029516 12432740 15036895 20994910 30073790 41989820 60147580 111273023 222546046 445092092 556365115 1112730230 2225460460