240221000 has 64 divisors (see below), whose sum is σ = 565110000. Its totient is φ = 95577600.

The previous prime is 240220997. The next prime is 240221011. The reversal of 240221000 is 122042.

240221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 94439524 + 145781476 = 9718^2 + 12074^2 .

It is a super-2 number, since 2×240221000² = 115412257682000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228476 + ... + 229524.

Almost surely, 2^240221000 is an apocalyptic number.

240221000 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 240221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282555000).

240221000 is an abundant number, since it is smaller than the sum of its proper divisors (324889000).

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

240221000 is a wasteful number, since it uses less digits than its factorization.

240221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 240221000 is about 15499.0644878973. The cubic root of 240221000 is about 621.6371922223.

Adding to 240221000 its reverse (122042), we get a palindrome (240343042).

The spelling of 240221000 in words is "two hundred forty million, two hundred twenty-one thousand".