223828199640 has 256 divisors, whose sum is σ = 802075392000. Its totient is φ = 55342725120.

The previous prime is 223828199629. The next prime is 223828199671. The reversal of 223828199640 is 46991828322.

223828199640 is a `hidden beast` number, since 2 + 238 + 281 + 9 + 96 + 40 = 666.

It is a super-2 number, since 2×223828199640² (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 848400 + ... + 1080480.

It is an arithmetic number, because the mean of its divisors is an integer number (3133107000).

Almost surely, 2^223828199640 is an apocalyptic number.

223828199640 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 223828199640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401037696000).

223828199640 is an abundant number, since it is smaller than the sum of its proper divisors (578247192360).

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

223828199640 is a wasteful number, since it uses less digits than its factorization.

223828199640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232167 (or 232157 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 223828199640 in words is "two hundred twenty-three billion, eight hundred twenty-eight million, one hundred ninety-nine thousand, six hundred forty".