Search a number
-
+
225174306084 = 223713661311957
BaseRepresentation
bin1101000110110101101…
…1110011110100100100
3210112012210011221022020
43101231123303310210
512142124110243314
6251235454503140
722161013010250
oct3215533636444
9715183157266
10225174306084
1187550030a42
1237782504ab0
13183069b4990
14ac8167d260
155ccd5c7da9
hex346d6f3d24

225174306084 has 96 divisors (see below), whose sum is σ = 647634790656. Its totient is φ = 59296596480.

The previous prime is 225174306079. The next prime is 225174306121. The reversal of 225174306084 is 480603471522.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 565834 + ... + 877790.

It is an arithmetic number, because the mean of its divisors is an integer number (6746195736).

Almost surely, 2225174306084 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 225174306084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323817395328).

225174306084 is an abundant number, since it is smaller than the sum of its proper divisors (422460484572).

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

225174306084 is a wasteful number, since it uses less digits than its factorization.

225174306084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312645 (or 312643 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 225174306084 in words is "two hundred twenty-five billion, one hundred seventy-four million, three hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 661 1092 1322 1983 2644 3966 4627 7932 8593 9254 13881 17186 18508 25779 27762 34372 51558 55524 60151 103116 120302 180453 240604 311957 360906 623914 721812 935871 1247828 1871742 2183699 3743484 4055441 4367398 6551097 8110882 8734796 12166323 13102194 16221764 24332646 26204388 28388087 48665292 56776174 85164261 113552348 170328522 206203577 340657044 412407154 618610731 824814308 1237221462 1443425039 2474442924 2680646501 2886850078 4330275117 5361293002 5773700156 8041939503 8660550234 10722586004 16083879006 17321100468 18764525507 32167758012 37529051014 56293576521 75058102028 112587153042 225174306084