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225559572 = 223715117783
BaseRepresentation
bin11010111000111…
…00010000010100
3120201102121120020
431130130100110
5430220401242
634214305140
75406140040
oct1534342024
9521377506
10225559572
11106360277
12636581b0
1337966104
1421d57020
1514c076ec
hexd71c414

225559572 has 48 divisors (see below), whose sum is σ = 605509632. Its totient is φ = 64015200.

The previous prime is 225559571. The next prime is 225559601. The reversal of 225559572 is 275955522.

225559572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225559571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3793 + ... + 21575.

It is an arithmetic number, because the mean of its divisors is an integer number (12614784).

Almost surely, 2225559572 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 225559572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302754816).

225559572 is an abundant number, since it is smaller than the sum of its proper divisors (379950060).

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

225559572 is a wasteful number, since it uses less digits than its factorization.

225559572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17948 (or 17946 counting only the distinct ones).

The product of its digits is 315000, while the sum is 42.

The square root of 225559572 is about 15018.6408173310. The cubic root of 225559572 is about 608.7239939868.

The spelling of 225559572 in words is "two hundred twenty-five million, five hundred fifty-nine thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 151 302 453 604 906 1057 1812 2114 3171 4228 6342 12684 17783 35566 53349 71132 106698 124481 213396 248962 373443 497924 746886 1493772 2685233 5370466 8055699 10740932 16111398 18796631 32222796 37593262 56389893 75186524 112779786 225559572