224622840 has 128 divisors (see below), whose sum is σ = 732916800. Its totient is φ = 54743040.

The previous prime is 224622829. The next prime is 224622863. The reversal of 224622840 is 48226422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224622798 and 224622807.

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, 169380 + ... + 170700.

Almost surely, 2^224622840 is an apocalyptic number.

224622840 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 224622840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366458400).

224622840 is an abundant number, since it is smaller than the sum of its proper divisors (508293960).

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

224622840 is a wasteful number, since it uses less digits than its factorization.

224622840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 224622840 is about 14987.4227270735. The cubic root of 224622840 is about 607.8801630737.

The spelling of 224622840 in words is "two hundred twenty-four million, six hundred twenty-two thousand, eight hundred forty".