224006497920 has 1152 divisors, whose sum is σ = 885569630400. Its totient is φ = 53926871040.

The previous prime is 224006497867. The next prime is 224006497937. The reversal of 224006497920 is 29794600422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×224006497920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5209453419 + ... + 5209453461.

Almost surely, 2^224006497920 is an apocalyptic number.

224006497920 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 224006497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442784815200).

224006497920 is an abundant number, since it is smaller than the sum of its proper divisors (661563132480).

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

224006497920 is an equidigital number, since it uses as much as digits as its factorization.

224006497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 224006497920 in words is "two hundred twenty-four billion, six million, four hundred ninety-seven thousand, nine hundred twenty".