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190168192 = 271519839
BaseRepresentation
bin10110101010110…
…11110010000000
3111020211112201101
423111123302000
5342140340232
630511544144
74466255134
oct1325336200
9436745641
10190168192
11983881a5
125382b054
1330524176
141b3833c4
1511a661e7
hexb55bc80

190168192 has 32 divisors (see below), whose sum is σ = 381398400. Its totient is φ = 94444800.

The previous prime is 190168159. The next prime is 190168201. The reversal of 190168192 is 291861091.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 14409 + ... + 24247.

It is an arithmetic number, because the mean of its divisors is an integer number (11918700).

Almost surely, 2190168192 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 190168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190699200).

190168192 is an abundant number, since it is smaller than the sum of its proper divisors (191230208).

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

190168192 is an equidigital number, since it uses as much as digits as its factorization.

190168192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10004 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The square root of 190168192 is about 13790.1483675847. The cubic root of 190168192 is about 575.0592926884.

The spelling of 190168192 in words is "one hundred ninety million, one hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 151 302 604 1208 2416 4832 9664 9839 19328 19678 39356 78712 157424 314848 629696 1259392 1485689 2971378 5942756 11885512 23771024 47542048 95084096 190168192