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199161792 = 26322911923
BaseRepresentation
bin10111101111011…
…11011111000000
3111212202110121200
423313233133000
5401441134132
631432421200
74635563424
oct1367573700
9455673550
10199161792
11a2470225
1256847800
133235291b
141c644b84
1512740d7c
hexbdef7c0

199161792 has 84 divisors (see below), whose sum is σ = 590595720. Its totient is φ = 64092672.

The previous prime is 199161791. The next prime is 199161803. The reversal of 199161792 is 297161991.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199161791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10743 + ... + 22665.

Almost surely, 2199161792 is an apocalyptic number.

199161792 is a gapful number since it is divisible by the number (12) 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 199161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295297860).

199161792 is an abundant number, since it is smaller than the sum of its proper divisors (391433928).

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

199161792 is a wasteful number, since it uses less digits than its factorization.

199161792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 11957 counting only the distinct ones).

The product of its digits is 61236, while the sum is 45.

The square root of 199161792 is about 14112.4693799491. The cubic root of 199161792 is about 583.9854252946.

The spelling of 199161792 in words is "one hundred ninety-nine million, one hundred sixty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 11923 16704 23846 35769 47692 71538 95384 107307 143076 190768 214614 286152 345767 381536 429228 572304 691534 763072 858456 1037301 1144608 1383068 1716912 2074602 2289216 2766136 3111903 3433824 4149204 5532272 6223806 6867648 8298408 11064544 12447612 16596816 22129088 24895224 33193632 49790448 66387264 99580896 199161792