221214024 has 64 divisors (see below), whose sum is σ = 629496000. Its totient is φ = 71936640.

The previous prime is 221213987. The next prime is 221214043. The reversal of 221214024 is 420412122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221213988 and 221214006.

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, 3634 + ... + 21345.

It is an arithmetic number, because the mean of its divisors is an integer number (9835875).

Almost surely, 2^221214024 is an apocalyptic number.

221214024 is a gapful number since it is divisible by the number (24) 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 221214024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314748000).

221214024 is an abundant number, since it is smaller than the sum of its proper divisors (408281976).

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

221214024 is a wasteful number, since it uses less digits than its factorization.

221214024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25035 (or 25025 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221214024 is about 14873.2654114690. The cubic root of 221214024 is about 604.7894666218.

Adding to 221214024 its reverse (420412122), we get a palindrome (641626146).

It can be divided in two parts, 2212140 and 24, that multiplied together give a triangular number (53091360 = T₁₀₃₀₄).

The spelling of 221214024 in words is "two hundred twenty-one million, two hundred fourteen thousand, twenty-four".