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225520040 = 23531181871
BaseRepresentation
bin11010111000100…
…10100110101000
3120201100121100002
431130102212220
5430213120130
634213402132
75405613554
oct1534224650
9521317302
10225520040
111063335a9
1263639348
1337951115
1421d46864
1514beab45
hexd7129a8

225520040 has 32 divisors (see below), whose sum is σ = 523791360. Its totient is φ = 87297600.

The previous prime is 225520039. The next prime is 225520073. The reversal of 225520040 is 40025522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225519994 and 225520021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89696 + ... + 92175.

It is an arithmetic number, because the mean of its divisors is an integer number (16368480).

Almost surely, 2225520040 is an apocalyptic number.

225520040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225520040 is an abundant number, since it is smaller than the sum of its proper divisors (298271320).

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

225520040 is a wasteful number, since it uses less digits than its factorization.

225520040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181913 (or 181909 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 225520040 is about 15017.3246618697. The cubic root of 225520040 is about 608.6884298670.

Adding to 225520040 its reverse (40025522), we get a palindrome (265545562).

The spelling of 225520040 in words is "two hundred twenty-five million, five hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 181871 363742 727484 909355 1454968 1818710 3637420 5638001 7274840 11276002 22552004 28190005 45104008 56380010 112760020 225520040