Search a number
-
+
199336152 = 233171273847
BaseRepresentation
bin10111110000110…
…10000011011000
3111220002022210110
423320122003120
5402012224102
631440244320
74640220651
oct1370320330
9456068713
10199336152
11a257a224
12569106a0
13323b40b2
141c68c528
151277786c
hexbe1a0d8

199336152 has 64 divisors (see below), whose sum is σ = 531947520. Its totient is φ = 62028288.

The previous prime is 199336133. The next prime is 199336177. The reversal of 199336152 is 251633991.

199336152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 199336152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49893 + ... + 53739.

It is an arithmetic number, because the mean of its divisors is an integer number (8311680).

Almost surely, 2199336152 is an apocalyptic number.

199336152 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 199336152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265973760).

199336152 is an abundant number, since it is smaller than the sum of its proper divisors (332611368).

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

199336152 is a wasteful number, since it uses less digits than its factorization.

199336152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3996 counting only the distinct ones).

The product of its digits is 43740, while the sum is 39.

The square root of 199336152 is about 14118.6455441023. The cubic root of 199336152 is about 584.1557959895.

The spelling of 199336152 in words is "one hundred ninety-nine million, three hundred thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 381 408 508 762 1016 1524 2159 3048 3847 4318 6477 7694 8636 11541 12954 15388 17272 23082 25908 30776 46164 51816 65399 92328 130798 196197 261596 392394 488569 523192 784788 977138 1465707 1569576 1954276 2931414 3908552 5862828 8305673 11725656 16611346 24917019 33222692 49834038 66445384 99668076 199336152