221970240 has 224 divisors, whose sum is σ = 817839360. Its totient is φ = 56567808.

The previous prime is 221970239. The next prime is 221970313. The reversal of 221970240 is 42079122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198162 + ... + 199278.

Almost surely, 2^221970240 is an apocalyptic number.

221970240 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 221970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408919680).

221970240 is an abundant number, since it is smaller than the sum of its proper divisors (595869120).

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

221970240 is a wasteful number, since it uses less digits than its factorization.

221970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 221970240 is about 14898.6657120697. The cubic root of 221970240 is about 605.4778366467.

The spelling of 221970240 in words is "two hundred twenty-one million, nine hundred seventy thousand, two hundred forty".