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199134432 = 253272103137
BaseRepresentation
bin10111101111010…
…00110011100000
3111212201002002100
423313220303200
5401434300212
631432050400
74635420600
oct1367506340
9455632070
10199134432
11a2451712
1256833a00
1332343333
141c638c00
1512737bdc
hexbde8ce0

199134432 has 216 divisors, whose sum is σ = 669994416. Its totient is φ = 55931904.

The previous prime is 199134427. The next prime is 199134443. The reversal of 199134432 is 234431991.

199134432 is a `hidden beast` number, since 1 + 99 + 134 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1453468 + ... + 1453604.

It is an arithmetic number, because the mean of its divisors is an integer number (3101826).

Almost surely, 2199134432 is an apocalyptic number.

199134432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 14111×14112.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334997208).

199134432 is an abundant number, since it is smaller than the sum of its proper divisors (470859984).

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

199134432 is a wasteful number, since it uses less digits than its factorization.

199134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 199134432 is about 14111.4999911420. The cubic root of 199134432 is about 583.9586822586.

The spelling of 199134432 in words is "one hundred ninety-nine million, one hundred thirty-four thousand, four hundred thirty-two".