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225422520 = 23358392239
BaseRepresentation
bin11010110111110…
…10110010111000
3120201011122120020
431123322302320
5430202010040
634211330440
75405026341
oct1533726270
9521148506
10225422520
11106277304
12635b0a20
133791890b
1421d1d0c8
1514bcbcd0
hexd6facb8

225422520 has 64 divisors (see below), whose sum is σ = 677376000. Its totient is φ = 60014208.

The previous prime is 225422503. The next prime is 225422521. The reversal of 225422520 is 25224522.

It is a happy number.

225422520 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225422521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99561 + ... + 101799.

It is an arithmetic number, because the mean of its divisors is an integer number (10584000).

Almost surely, 2225422520 is an apocalyptic number.

225422520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225422520 is an abundant number, since it is smaller than the sum of its proper divisors (451953480).

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

225422520 is a wasteful number, since it uses less digits than its factorization.

225422520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 225422520 is about 15014.0773942324. The cubic root of 225422520 is about 608.6006803055.

The spelling of 225422520 in words is "two hundred twenty-five million, four hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 839 1678 2239 2517 3356 4195 4478 5034 6712 6717 8390 8956 10068 11195 12585 13434 16780 17912 20136 22390 25170 26868 33560 33585 44780 50340 53736 67170 89560 100680 134340 268680 1878521 3757042 5635563 7514084 9392605 11271126 15028168 18785210 22542252 28177815 37570420 45084504 56355630 75140840 112711260 225422520