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199911264 = 2537297487
BaseRepresentation
bin10111110101001…
…10011101100000
3111221011112200220
423322212131200
5402134130024
631500443040
74645134450
oct1372463540
9457145626
10199911264
11a2932323
1256b49480
1332555ab7
141c79bd60
151283ce79
hexbea6760

199911264 has 48 divisors (see below), whose sum is σ = 599735808. Its totient is φ = 57117312.

The previous prime is 199911253. The next prime is 199911269. The reversal of 199911264 is 462119991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (199911269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148072 + ... + 149415.

It is an arithmetic number, because the mean of its divisors is an integer number (12494496).

Almost surely, 2199911264 is an apocalyptic number.

199911264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

199911264 is an abundant number, since it is smaller than the sum of its proper divisors (399824544).

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

199911264 is a wasteful number, since it uses less digits than its factorization.

199911264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297507 (or 297499 counting only the distinct ones).

The product of its digits is 34992, while the sum is 42.

The square root of 199911264 is about 14138.9979842986. The cubic root of 199911264 is about 584.7170463023.

The spelling of 199911264 in words is "one hundred ninety-nine million, nine hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 297487 594974 892461 1189948 1784922 2082409 2379896 3569844 4164818 4759792 6247227 7139688 8329636 9519584 12494454 14279376 16659272 24988908 28558752 33318544 49977816 66637088 99955632 199911264