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225733794 = 2311131961227
BaseRepresentation
bin11010111010001…
…10110010100010
3120201202110112220
431131012302202
5430241440134
634222131510
75410464006
oct1535066242
9521673486
10225733794
1110646a160
1263720b96
13379c74c0
1421da0706
1514c3e149
hexd746ca2

225733794 has 128 divisors (see below), whose sum is σ = 569963520. Its totient is φ = 58579200.

The previous prime is 225733793. The next prime is 225733811. The reversal of 225733794 is 497337522.

225733794 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (317520) is a multiple of the sum of its prime divisors (336).

It is not an unprimeable number, because it can be changed into a prime (225733793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 994309 + ... + 994535.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2225733794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225733794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284981760).

225733794 is an abundant number, since it is smaller than the sum of its proper divisors (344229726).

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

225733794 is a wasteful number, since it uses less digits than its factorization.

225733794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336.

The product of its digits is 317520, while the sum is 42.

The square root of 225733794 is about 15024.4398897263. The cubic root of 225733794 is about 608.8806795981.

The spelling of 225733794 in words is "two hundred twenty-five million, seven hundred thirty-three thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 61 66 78 114 122 143 183 209 227 247 286 366 418 429 454 494 627 671 681 741 793 858 1159 1254 1342 1362 1482 1586 2013 2318 2379 2497 2717 2951 3477 4026 4313 4758 4994 5434 5902 6954 7491 8151 8626 8723 8853 12749 12939 13847 14982 15067 16302 17446 17706 25498 25878 26169 27694 30134 32461 38247 41541 45201 47443 52338 56069 64922 76494 83082 90402 94886 97383 112138 142329 152317 165737 168207 180011 194766 263093 284658 304634 331474 336414 360022 456951 497211 526186 540033 616759 789279 913902 994422 1080066 1233518 1578558 1850277 1980121 2894023 3420209 3700554 3960242 5788046 5940363 6840418 8682069 10260627 11880726 17364138 20521254 37622299 75244598 112866897 225733794