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189192192 = 211375383
BaseRepresentation
bin10110100011011…
…01100000000000
3111011222221220020
423101231200000
5341413122232
630435013440
74455051510
oct1321554000
9434887806
10189192192
1197880992
125343a280
1330271b57
141b1ab840
1511921e2c
hexb46d800

189192192 has 192 divisors, whose sum is σ = 594397440. Its totient is φ = 52396032.

The previous prime is 189192187. The next prime is 189192197. The reversal of 189192192 is 291291981.

It is an interprime number because it is at equal distance from previous prime (189192187) and next prime (189192197).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189192197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2279383 + ... + 2279465.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2189192192 is an apocalyptic number.

189192192 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 189192192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297198720).

189192192 is an abundant number, since it is smaller than the sum of its proper divisors (405205248).

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

189192192 is an equidigital number, since it uses as much as digits as its factorization.

189192192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its digits is 23328, while the sum is 42.

The square root of 189192192 is about 13754.7152642285. The cubic root of 189192192 is about 574.0738127791.

The spelling of 189192192 in words is "one hundred eighty-nine million, one hundred ninety-two thousand, one hundred ninety-two".