224237744640 has 1440 divisors, whose sum is σ = 1013983850880. Its totient is φ = 44718096384.

The previous prime is 224237744629. The next prime is 224237744663. The reversal of 224237744640 is 46447732422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×224237744640² (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, 517869864 + ... + 517870296.

It is an arithmetic number, because the mean of its divisors is an integer number (704155452).

Almost surely, 2^224237744640 is an apocalyptic number.

224237744640 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 224237744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506991925440).

224237744640 is an abundant number, since it is smaller than the sum of its proper divisors (789746106240).

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

224237744640 is a wasteful number, since it uses less digits than its factorization.

224237744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 224237744640 in words is "two hundred twenty-four billion, two hundred thirty-seven million, seven hundred forty-four thousand, six hundred forty".