225375696 has 360 divisors, whose sum is σ = 825988800. Its totient is φ = 59439744.

The previous prime is 225375677. The next prime is 225375697. The reversal of 225375696 is 696573522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225375696 is a `hidden beast` number, since 22 + 537 + 5 + 6 + 96 = 666.

It is a super-3 number, since 3×225375696³ (a number of 26 digits) contains 333 as substring.

Its product of digits (680400) is a multiple of the sum of its prime divisors (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225375697) 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 71 ways as a sum of consecutive naturals, for example, 17336586 + ... + 17336598.

Almost surely, 2^225375696 is an apocalyptic number.

225375696 is a gapful number since it is divisible by the number (26) 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 225375696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412994400).

225375696 is an abundant number, since it is smaller than the sum of its proper divisors (600613104).

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

225375696 is an equidigital number, since it uses as much as digits as its factorization.

225375696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 25 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 225375696 is about 15012.5179766753. The cubic root of 225375696 is about 608.5585385656.

Multiplying 225375696 by its product of digits (680400), we get a square (153345623558400 = 12383280²).

The spelling of 225375696 in words is "two hundred twenty-five million, three hundred seventy-five thousand, six hundred ninety-six".