Search a number
-
+
199944056 = 23131999661
BaseRepresentation
bin10111110101011…
…10011101111000
3111221020012200102
423322232131320
5402141202211
631501254532
74645332164
oct1372563570
9457205612
10199944056
11a2954a24
1256b64448
13325679c0
141c7a9ca4
1512847a3b
hexbeae778

199944056 has 32 divisors (see below), whose sum is σ = 405804000. Its totient is φ = 91808640.

The previous prime is 199943999. The next prime is 199944061. The reversal of 199944056 is 650449991.

199944056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1999440562 = 79955251059462272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 199944056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15866 + ... + 25526.

It is an arithmetic number, because the mean of its divisors is an integer number (12681375).

Almost surely, 2199944056 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 199944056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202902000).

199944056 is an abundant number, since it is smaller than the sum of its proper divisors (205859944).

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

199944056 is a wasteful number, since it uses less digits than its factorization.

199944056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 199944056 is about 14140.1575663074. The cubic root of 199944056 is about 584.7490154749.

The spelling of 199944056 in words is "one hundred ninety-nine million, nine hundred forty-four thousand, fifty-six".

Divisors: 1 2 4 8 13 26 52 104 199 398 796 1592 2587 5174 9661 10348 19322 20696 38644 77288 125593 251186 502372 1004744 1922539 3845078 7690156 15380312 24993007 49986014 99972028 199944056