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225120024 = 23323126667
BaseRepresentation
bin11010110101100…
…00111100011000
3120200121021121200
431122300330120
5430112320044
634201034200
75402326413
oct1532607430
9520537550
10225120024
11106090008
1263485960
133784101c
1421c80b7a
1514b6c369
hexd6b0f18

225120024 has 24 divisors (see below), whose sum is σ = 609700260. Its totient is φ = 75039984.

The previous prime is 225120019. The next prime is 225120031. The reversal of 225120024 is 420021522.

225120024 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 225119979 and 225120006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1563262 + ... + 1563405.

Almost surely, 2225120024 is an apocalyptic number.

225120024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225120024 is an abundant number, since it is smaller than the sum of its proper divisors (384580236).

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

225120024 is a wasteful number, since it uses less digits than its factorization.

225120024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126679 (or 3126672 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225120024 is about 15004.0002665956. Note that the first 3 decimals coincide. The cubic root of 225120024 is about 608.3283299937.

Adding to 225120024 its reverse (420021522), we get a palindrome (645141546).

The spelling of 225120024 in words is "two hundred twenty-five million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3126667 6253334 9380001 12506668 18760002 25013336 28140003 37520004 56280006 75040008 112560012 225120024