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225430140 = 223513319323
BaseRepresentation
bin11010110111111…
…00101001111100
3120201012001000110
431123330221330
5430202231030
634211430020
75405060505
oct1533745174
9521161013
10225430140
11106282001
12635b5310
133791c220
1421d21bac
1514bce1b0
hexd6fca7c

225430140 has 96 divisors (see below), whose sum is σ = 701761536. Its totient is φ = 53694720.

The previous prime is 225430129. The next prime is 225430169. The reversal of 225430140 is 41034522.

It is a congruent number.

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, 19519 + ... + 28841.

It is an arithmetic number, because the mean of its divisors is an integer number (7310016).

Almost surely, 2225430140 is an apocalyptic number.

225430140 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 225430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350880768).

225430140 is an abundant number, since it is smaller than the sum of its proper divisors (476331396).

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

225430140 is a wasteful number, since it uses less digits than its factorization.

225430140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379 (or 9377 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225430140 is about 15014.3311539342. The cubic root of 225430140 is about 608.6075377761.

Adding to 225430140 its reverse (41034522), we get a palindrome (266464662).

The spelling of 225430140 in words is "two hundred twenty-five million, four hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 9323 12090 18646 24180 27969 37292 46615 55938 93230 111876 121199 139845 186460 242398 279690 289013 363597 484796 559380 578026 605995 727194 867039 1156052 1211990 1445065 1454388 1734078 1817985 2423980 2890130 3468156 3635970 3757169 4335195 5780260 7271940 7514338 8670390 11271507 15028676 17340780 18785845 22543014 37571690 45086028 56357535 75143380 112715070 225430140