202223831040 has 2304 divisors, whose sum is σ = 968018688000. Its totient is φ = 39512309760.

The previous prime is 202223830969. The next prime is 202223831057. The reversal of 202223831040 is 40138322202.

202223831040 is a `hidden beast` number, since 20 + 222 + 383 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 202223830995 and 202223831013.

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, 3427522531 + ... + 3427522589.

It is an arithmetic number, because the mean of its divisors is an integer number (420147000).

Almost surely, 2^202223831040 is an apocalyptic number.

202223831040 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 202223831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484009344000).

202223831040 is an abundant number, since it is smaller than the sum of its proper divisors (765794856960).

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

202223831040 is a wasteful number, since it uses less digits than its factorization.

202223831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 202223831040 in words is "two hundred two billion, two hundred twenty-three million, eight hundred thirty-one thousand, forty".