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225526100 = 22523760953
BaseRepresentation
bin11010111000101…
…00000101010100
3120201100220122112
431130110011110
5430213313400
634213450152
75405640332
oct1534240524
9521326575
10225526100
11106338108
1263640958
1337953ac7
1421d48b52
1514bec835
hexd714154

225526100 has 36 divisors (see below), whose sum is σ = 502626684. Its totient is φ = 87770880.

The previous prime is 225526079. The next prime is 225526111. The reversal of 225526100 is 1625522.

It can be written as a sum of positive squares in 6 ways, for example, as 1844164 + 223681936 = 1358^2 + 14956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26777 + ... + 34176.

Almost surely, 2225526100 is an apocalyptic number.

225526100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225526100 is an abundant number, since it is smaller than the sum of its proper divisors (277100584).

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

225526100 is a wasteful number, since it uses less digits than its factorization.

225526100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61004 (or 60997 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 225526100 is about 15017.5264274780. The cubic root of 225526100 is about 608.6938818863.

The spelling of 225526100 in words is "two hundred twenty-five million, five hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 60953 121906 243812 304765 609530 1219060 1523825 2255261 3047650 4510522 6095300 9021044 11276305 22552610 45105220 56381525 112763050 225526100