227893720320 has 1728 divisors, whose sum is σ = 1018242441216. Its totient is φ = 47616491520.

The previous prime is 227893720297. The next prime is 227893720399. The reversal of 227893720320 is 23027398722.

227893720320 is a `hidden beast` number, since 2 + 278 + 9 + 37 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×227893720320² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1739646655 + ... + 1739646785.

It is an arithmetic number, because the mean of its divisors is an integer number (589260672).

Almost surely, 2^227893720320 is an apocalyptic number.

227893720320 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 227893720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509121220608).

227893720320 is an abundant number, since it is smaller than the sum of its proper divisors (790348720896).

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

227893720320 is a wasteful number, since it uses less digits than its factorization.

227893720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 227893720320 in words is "two hundred twenty-seven billion, eight hundred ninety-three million, seven hundred twenty thousand, three hundred twenty".