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225492930 = 233513173779
BaseRepresentation
bin11010111000010…
…11111111000010
3120201022020011000
431130023333002
5430211233210
634213032430
75405441535
oct1534137702
9521266130
10225492930
111063151a3
1263625716
1337941990
1421d3aa1c
1514be2ac0
hexd70bfc2

225492930 has 128 divisors (see below), whose sum is σ = 685843200. Its totient is φ = 52227072.

The previous prime is 225492857. The next prime is 225492937. The reversal of 225492930 is 39294522.

225492930 is a `hidden beast` number, since 22 + 549 + 2 + 93 + 0 = 666.

It is a super-2 number, since 2×2254929302 = 101694122959969800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225492937) 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, 57781 + ... + 61559.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2225492930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225492930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342921600).

225492930 is an abundant number, since it is smaller than the sum of its proper divisors (460350270).

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

225492930 is a wasteful number, since it uses less digits than its factorization.

225492930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 225492930 is about 15016.4220105856. The cubic root of 225492930 is about 608.6640385319.

The spelling of 225492930 in words is "two hundred twenty-five million, four hundred ninety-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 234 255 270 306 351 390 442 459 510 585 663 702 765 918 1105 1170 1326 1530 1755 1989 2210 2295 3315 3510 3779 3978 4590 5967 6630 7558 9945 11337 11934 18895 19890 22674 29835 34011 37790 49127 56685 59670 64243 68022 98254 102033 113370 128486 147381 170055 192729 204066 245635 294762 321215 340110 385458 442143 491270 510165 578187 642430 736905 835159 884286 963645 1020330 1156374 1326429 1473810 1670318 1734561 1927290 2210715 2505477 2652858 2890935 3469122 4175795 4421430 5010954 5781870 6632145 7516431 8351590 8672805 12527385 13264290 15032862 17345610 22549293 25054770 37582155 45098586 75164310 112746465 225492930