221147280 has 160 divisors (see below), whose sum is σ = 779771520. Its totient is φ = 57576960.

The previous prime is 221147239. The next prime is 221147287. The reversal of 221147280 is 82741122.

It is a super-2 number, since 2×221147280² = 97812238902796800, which contains 22 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 (221147287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91690 + ... + 94070.

It is an arithmetic number, because the mean of its divisors is an integer number (4873572).

Almost surely, 2^221147280 is an apocalyptic number.

221147280 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 221147280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389885760).

221147280 is an abundant number, since it is smaller than the sum of its proper divisors (558624240).

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

221147280 is a wasteful number, since it uses less digits than its factorization.

221147280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 221147280 is about 14871.0214847535. The cubic root of 221147280 is about 604.7286354445.

The spelling of 221147280 in words is "two hundred twenty-one million, one hundred forty-seven thousand, two hundred eighty".