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225488100 = 22352751627
BaseRepresentation
bin11010111000010…
…10110011100100
3120201021222112010
431130022303210
5430211104400
634212554220
75405421465
oct1534126344
9521258463
10225488100
11106311602
1263622970
133793c716
1421d38d6c
1514be1450
hexd70ace4

225488100 has 36 divisors (see below), whose sum is σ = 652413104. Its totient is φ = 60130080.

The previous prime is 225488099. The next prime is 225488111. The reversal of 225488100 is 1884522.

225488100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2254881002 = 101689766483220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 375514 + ... + 376113.

Almost surely, 2225488100 is an apocalyptic number.

225488100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225488100 is an abundant number, since it is smaller than the sum of its proper divisors (426925004).

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

225488100 is a wasteful number, since it uses less digits than its factorization.

225488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751644 (or 751637 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 225488100 is about 15016.2611857946. The cubic root of 225488100 is about 608.6596926923.

The spelling of 225488100 in words is "two hundred twenty-five million, four hundred eighty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 751627 1503254 2254881 3006508 3758135 4509762 7516270 9019524 11274405 15032540 18790675 22548810 37581350 45097620 56372025 75162700 112744050 225488100