Search a number
-
+
225776590 = 25133773643
BaseRepresentation
bin11010111010100…
…01001111001110
3120201211122020221
431131101033032
5430244322330
634223101554
75411032534
oct1535211716
9521748227
10225776590
11106499326
12637418ba
1337a10b20
1421db2154
1514c4bb7a
hexd7513ce

225776590 has 64 divisors (see below), whose sum is σ = 456353856. Its totient is φ = 79875072.

The previous prime is 225776587. The next prime is 225776597. The reversal of 225776590 is 95677522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225776597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350809 + ... + 351451.

It is an arithmetic number, because the mean of its divisors is an integer number (7130529).

Almost surely, 2225776590 is an apocalyptic number.

225776590 is an abundant number, since it is smaller than the sum of its proper divisors (230577266).

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

225776590 is a wasteful number, since it uses less digits than its factorization.

225776590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773.

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 225776590 is about 15025.8640350564. The cubic root of 225776590 is about 608.9191556138.

The spelling of 225776590 in words is "two hundred twenty-five million, seven hundred seventy-six thousand, five hundred ninety".

Divisors: 1 2 5 10 13 26 37 65 73 74 130 146 185 365 370 481 643 730 949 962 1286 1898 2405 2701 3215 4745 4810 5402 6430 8359 9490 13505 16718 23791 27010 35113 41795 46939 47582 70226 83590 93878 118955 175565 234695 237910 309283 351130 469390 610207 618566 1220414 1546415 1736743 3051035 3092830 3473486 6102070 8683715 17367430 22577659 45155318 112888295 225776590