224048842290 has 320 divisors, whose sum is σ = 745653807360. Its totient is φ = 47004986880.

The previous prime is 224048842273. The next prime is 224048842309. The reversal of 224048842290 is 92248840422.

224048842290 is a `hidden beast` number, since 2 + 2 + 40 + 488 + 42 + 2 + 90 = 666.

It is a super-3 number, since 3×224048842290³ (a number of 35 digits) contains 333 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 159 ways as a sum of consecutive naturals, for example, 13185600 + ... + 13202580.

It is an arithmetic number, because the mean of its divisors is an integer number (2330168148).

Almost surely, 2^224048842290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224048842290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372826903680).

224048842290 is an abundant number, since it is smaller than the sum of its proper divisors (521604965070).

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

224048842290 is a wasteful number, since it uses less digits than its factorization.

224048842290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17199 (or 17190 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 224048842290 in words is "two hundred twenty-four billion, forty-eight million, eight hundred forty-two thousand, two hundred ninety".