226983632832 has 588 divisors, whose sum is σ = 766831941568. Its totient is φ = 66512793600.

The previous prime is 226983632831. The next prime is 226983632839. The reversal of 226983632832 is 238236389622.

226983632832 is a `hidden beast` number, since 226 + 9 + 8 + 363 + 28 + 32 = 666.

It is a super-2 number, since 2×226983632832² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226983632831) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 175006008 + ... + 175007304.

Almost surely, 2^226983632832 is an apocalyptic number.

226983632832 is a gapful number since it is divisible by the number (22) 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 226983632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383415970784).

226983632832 is an abundant number, since it is smaller than the sum of its proper divisors (539848308736).

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

226983632832 is a wasteful number, since it uses less digits than its factorization.

226983632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1344 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 226983632832 in words is "two hundred twenty-six billion, nine hundred eighty-three million, six hundred thirty-two thousand, eight hundred thirty-two".