830157222600 has 960 divisors, whose sum is σ = 3269221560000. Its totient is φ = 193969520640.

The previous prime is 830157222599. The next prime is 830157222607. The reversal of 830157222600 is 6222751038.

830157222600 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 572 + 22 + 60 + 0 = 666.

It is a super-2 number, since 2×830157222600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (830157222607) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 308722056 + ... + 308724744.

It is an arithmetic number, because the mean of its divisors is an integer number (3405439125).

Almost surely, 2^830157222600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830157222600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634610780000).

830157222600 is an abundant number, since it is smaller than the sum of its proper divisors (2439064337400).

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

830157222600 is a wasteful number, since it uses less digits than its factorization.

830157222600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 830157222600 its reverse (6222751038), we get a palindrome (836379973638).

The spelling of 830157222600 in words is "eight hundred thirty billion, one hundred fifty-seven million, two hundred twenty-two thousand, six hundred".