224004690 has 192 divisors, whose sum is σ = 744097536. Its totient is φ = 47215872.

The previous prime is 224004643. The next prime is 224004691. The reversal of 224004690 is 96400422.

It is a super-2 number, since 2×224004690² = 100356202283992200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (224004691) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220624 + ... + 221636.

It is an arithmetic number, because the mean of its divisors is an integer number (3875508).

Almost surely, 2^224004690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224004690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372048768).

224004690 is an abundant number, since it is smaller than the sum of its proper divisors (520092846).

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

224004690 is a wasteful number, since it uses less digits than its factorization.

224004690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224004690 is about 14966.7862281787. The cubic root of 224004690 is about 607.3220329177.

The spelling of 224004690 in words is "two hundred twenty-four million, four thousand, six hundred ninety".