228013950000 has 960 divisors, whose sum is σ = 828576967680. Its totient is φ = 53813760000.

The previous prime is 228013949983. The next prime is 228013950013. The reversal of 228013950000 is 59310822.

It is a happy number.

It is a super-2 number, since 2×228013950000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 228013950000.

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, 4302149974 + ... + 4302150026.

It is an arithmetic number, because the mean of its divisors is an integer number (863101008).

Almost surely, 2^228013950000 is an apocalyptic number.

228013950000 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 228013950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414288483840).

228013950000 is an abundant number, since it is smaller than the sum of its proper divisors (600563017680).

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

228013950000 is a wasteful number, since it uses less digits than its factorization.

228013950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 228013950000 in words is "two hundred twenty-eight billion, thirteen million, nine hundred fifty thousand".