221252424 has 32 divisors (see below), whose sum is σ = 553962240. Its totient is φ = 73640000.

The previous prime is 221252417. The next prime is 221252443. The reversal of 221252424 is 424252122.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 221252394 and 221252403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10249 + ... + 23399.

It is an arithmetic number, because the mean of its divisors is an integer number (17311320).

Almost surely, 2^221252424 is an apocalyptic number.

221252424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221252424 is an abundant number, since it is smaller than the sum of its proper divisors (332709816).

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

221252424 is a wasteful number, since it uses less digits than its factorization.

221252424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13861 (or 13857 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 221252424 is about 14874.5562622890. The cubic root of 221252424 is about 604.8244592373.

The spelling of 221252424 in words is "two hundred twenty-one million, two hundred fifty-two thousand, four hundred twenty-four".