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225120020 = 22516576793
BaseRepresentation
bin11010110101100…
…00111100010100
3120200121021121112
431122300330110
5430112320040
634201034152
75402326406
oct1532607424
9520537545
10225120020
11106090004
1263485958
1337841018
1421c80b76
1514b6c365
hexd6b0f14

225120020 has 24 divisors (see below), whose sum is σ = 473106984. Its totient is φ = 89980416.

The previous prime is 225120019. The next prime is 225120031. The reversal of 225120020 is 20021522.

225120020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4 + 225120016 = 2^2 + 15004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 225119977 and 225120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29744 + ... + 36536.

It is an arithmetic number, because the mean of its divisors is an integer number (19712791).

Almost surely, 2225120020 is an apocalyptic number.

225120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225120020 is an abundant number, since it is smaller than the sum of its proper divisors (247986964).

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

225120020 is a wasteful number, since it uses less digits than its factorization.

225120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8459 (or 8457 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 225120020 is about 15004.0001332978. Note that the first 3 decimals coincide. The cubic root of 225120020 is about 608.3283263907.

Adding to 225120020 its reverse (20021522), we get a palindrome (245141542).

The spelling of 225120020 in words is "two hundred twenty-five million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1657 3314 6628 6793 8285 13586 16570 27172 33140 33965 67930 135860 11256001 22512002 45024004 56280005 112560010 225120020