225158000 has 80 divisors (see below), whose sum is σ = 550220736. Its totient is φ = 89107200.

The previous prime is 225157981. The next prime is 225158009. The reversal of 225158000 is 851522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×225158000² = 101392249928000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225158009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205454 + ... + 206546.

Almost surely, 2^225158000 is an apocalyptic number.

225158000 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 225158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275110368).

225158000 is an abundant number, since it is smaller than the sum of its proper divisors (325062736).

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

225158000 is a wasteful number, since it uses less digits than its factorization.

225158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 225158000 is about 15005.2657423986. The cubic root of 225158000 is about 608.3625348256.

The spelling of 225158000 in words is "two hundred twenty-five million, one hundred fifty-eight thousand".