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10199222208 = 2632723111657
BaseRepresentation
bin10010111111110101…
…11100011111000000
3222022210122011121200
421133322330133000
5131342000102313
64404020421200
7510513646500
oct113772743700
928283564550
1010199222208
11436421666a
121b87847800
13c67061736
146ca7c1a00
153ea611b73
hex25febc7c0

10199222208 has 252 divisors, whose sum is σ = 35107180992. Its totient is φ = 2819819520.

The previous prime is 10199222191. The next prime is 10199222213. The reversal of 10199222208 is 80222299101.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 869116 + ... + 880772.

Almost surely, 210199222208 is an apocalyptic number.

10199222208 is a gapful number since it is divisible by the number (18) 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 10199222208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17553590496).

10199222208 is an abundant number, since it is smaller than the sum of its proper divisors (24907958784).

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

10199222208 is a wasteful number, since it uses less digits than its factorization.

10199222208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11720 (or 11700 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10199222208 in words is "ten billion, one hundred ninety-nine million, two hundred twenty-two thousand, two hundred eight".