252221580 has 384 divisors, whose sum is σ = 933273600. Its totient is φ = 55987200.

The previous prime is 252221569. The next prime is 252221581. The reversal of 252221580 is 85122252.

It is a super-3 number, since 3×252221580³ (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (252221581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4134750 + ... + 4134810.

It is an arithmetic number, because the mean of its divisors is an integer number (2430400).

Almost surely, 2^252221580 is an apocalyptic number.

252221580 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 252221580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466636800).

252221580 is an abundant number, since it is smaller than the sum of its proper divisors (681052020).

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

252221580 is a wasteful number, since it uses less digits than its factorization.

252221580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252221580 is about 15881.4854468970. The cubic root of 252221580 is about 631.8210350236.

The spelling of 252221580 in words is "two hundred fifty-two million, two hundred twenty-one thousand, five hundred eighty".