Search a number
-
+
225962897529600 = 283852711174111
BaseRepresentation
bin110011011000001100010110…
…001111010101101100000000
31002122001211201211210100000000
4303120030112033111230000
5214104134003231421400
62120325531100000000
765411165151141150
oct6330142617255400
91078054654710000
10225962897529600
1165aa93658a6660
1221415159230000
139911295c375ba
143db293c234760
151b1cc30978600
hexcd83163d5b00

225962897529600 has 3888 divisors, whose sum is σ = 1107691109231616. Its totient is φ = 44180619264000.

The previous prime is 225962897529599. The next prime is 225962897529601. The reversal of 225962897529600 is 6925798269522.

225962897529600 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 6 + 2 + 8 + 9 + 7 + 5 + 2 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (225962897529599) and next prime (225962897529601).

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225962897529601) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 54965431545 + ... + 54965435655.

Almost surely, 2225962897529600 is an apocalyptic number.

225962897529600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225962897529600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553845554615808).

225962897529600 is an abundant number, since it is smaller than the sum of its proper divisors (881728211702016).

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

225962897529600 is an equidigital number, since it uses as much as digits as its factorization.

225962897529600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 225962897529600 in words is "two hundred twenty-five trillion, nine hundred sixty-two billion, eight hundred ninety-seven million, five hundred twenty-nine thousand, six hundred".