225641700 has 180 divisors, whose sum is σ = 742022820. Its totient is φ = 59304960.

The previous prime is 225641681. The next prime is 225641719. The reversal of 225641700 is 7146522.

It is an interprime number because it is at equal distance from previous prime (225641681) and next prime (225641719).

It can be written as a sum of positive squares in 6 ways, for example, as 84934656 + 140707044 = 9216^2 + 11862^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 720744 + ... + 721056.

It is an arithmetic number, because the mean of its divisors is an integer number (4122349).

Almost surely, 2^225641700 is an apocalyptic number.

225641700 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 225641700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371011410).

225641700 is an abundant number, since it is smaller than the sum of its proper divisors (516381120).

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

225641700 is a wasteful number, since it uses less digits than its factorization.

225641700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225641700 is about 15021.3747706393. The cubic root of 225641700 is about 608.7978654069.

It can be divided in two parts, 2256 and 41700, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 225641700 in words is "two hundred twenty-five million, six hundred forty-one thousand, seven hundred".