88252200 has 192 divisors, whose sum is σ = 310248000. Its totient is φ = 23051520.

The previous prime is 88252147. The next prime is 88252223. The reversal of 88252200 is 225288.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318462 + ... + 318738.

It is an arithmetic number, because the mean of its divisors is an integer number (1615875).

Almost surely, 2^88252200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155124000).

88252200 is an abundant number, since it is smaller than the sum of its proper divisors (221995800).

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

88252200 is a wasteful number, since it uses less digits than its factorization.

88252200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 88252200 is about 9394.2642074832. The cubic root of 88252200 is about 445.2205278203.

Adding to 88252200 its reverse (225288), we get a palindrome (88477488).

It can be divided in two parts, 8825 and 2200, that added together give a square (11025 = 105²).

The spelling of 88252200 in words is "eighty-eight million, two hundred fifty-two thousand, two hundred".