204521229000 has 768 divisors, whose sum is σ = 787224821760. Its totient is φ = 47442240000.

The previous prime is 204521228939. The next prime is 204521229001. The reversal of 204521229000 is 922125402.

It is a happy number.

204521229000 is a `hidden beast` number, since 2 + 0 + 452 + 122 + 90 + 0 + 0 = 666.

It is a super-2 number, since 2×204521229000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204521229001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316106677 + ... + 316107323.

It is an arithmetic number, because the mean of its divisors is an integer number (1025032320).

Almost surely, 2^204521229000 is an apocalyptic number.

204521229000 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 204521229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393612410880).

204521229000 is an abundant number, since it is smaller than the sum of its proper divisors (582703592760).

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

204521229000 is a wasteful number, since it uses less digits than its factorization.

204521229000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 204521229000 in words is "two hundred four billion, five hundred twenty-one million, two hundred twenty-nine thousand".