Search a number
-
+
10244434400 = 255212805543
BaseRepresentation
bin10011000101001110…
…11010100111100000
3222102221201012002022
421202213122213200
5131440033400100
64412313441012
7511603153454
oct114247324740
928387635068
1010244434400
114387797212
121b9aa10168
13c73531805
146d27d0664
153ee592e85
hex2629da9e0

10244434400 has 36 divisors (see below), whose sum is σ = 25009227432. Its totient is φ = 4097773440.

The previous prime is 10244434399. The next prime is 10244434441. The reversal of 10244434400 is 443444201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10244434400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6401972 + ... + 6403571.

It is an arithmetic number, because the mean of its divisors is an integer number (694700762).

Almost surely, 210244434400 is an apocalyptic number.

10244434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10244434400 is an abundant number, since it is smaller than the sum of its proper divisors (14764793032).

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

10244434400 is a wasteful number, since it uses less digits than its factorization.

10244434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12805563 (or 12805550 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10244434400 its reverse (443444201), we get a palindrome (10687878601).

The spelling of 10244434400 in words is "ten billion, two hundred forty-four million, four hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 12805543 25611086 51222172 64027715 102444344 128055430 204888688 256110860 320138575 409777376 512221720 640277150 1024443440 1280554300 2048886880 2561108600 5122217200 10244434400