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199399122 = 232131137541
BaseRepresentation
bin10111110001010…
…01011011010010
3111220012112011200
423320221123102
5402021232442
631441452030
74640602356
oct1370513322
9456175150
10199399122
11a261256a
1256941016
1332406960
141c6a7466
151278b34c
hexbe296d2

199399122 has 48 divisors (see below), whose sum is σ = 469444248. Its totient is φ = 60802560.

The previous prime is 199399111. The next prime is 199399139. The reversal of 199399122 is 221993991.

It can be written as a sum of positive squares in 4 ways, for example, as 35533521 + 163865601 = 5961^2 + 12801^2 .

It is a super-3 number, since 3×1993991223 (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22672 + ... + 30212.

Almost surely, 2199399122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199399122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234722124).

199399122 is an abundant number, since it is smaller than the sum of its proper divisors (270045126).

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

199399122 is a wasteful number, since it uses less digits than its factorization.

199399122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7672 counting only the distinct ones).

The product of its digits is 78732, while the sum is 45.

The square root of 199399122 is about 14120.8753977932. The cubic root of 199399122 is about 584.2173008352.

The spelling of 199399122 in words is "one hundred ninety-nine million, three hundred ninety-nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 226 234 339 678 1017 1469 2034 2938 4407 7541 8814 13221 15082 22623 26442 45246 67869 98033 135738 196066 294099 588198 852133 882297 1704266 1764594 2556399 5112798 7669197 11077729 15338394 22155458 33233187 66466374 99699561 199399122