224162640 has 240 divisors, whose sum is σ = 841696128. Its totient is φ = 55116288.

The previous prime is 224162593. The next prime is 224162647. The reversal of 224162640 is 46261422.

224162640 is a `hidden beast` number, since 2 + 2 + 4 + 16 + 2 + 640 = 666.

224162640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224162647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252277 + ... + 253163.

Almost surely, 2^224162640 is an apocalyptic number.

224162640 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 224162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420848064).

224162640 is an abundant number, since it is smaller than the sum of its proper divisors (617533488).

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

224162640 is a wasteful number, since it uses less digits than its factorization.

224162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 224162640 is about 14972.0619822388. The cubic root of 224162640 is about 607.4647441817.

The spelling of 224162640 in words is "two hundred twenty-four million, one hundred sixty-two thousand, six hundred forty".