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11233234400 = 255231452953
BaseRepresentation
bin10100111011000110…
…11000110111100000
31001222212022102200112
422131203120313200
5141001202000100
65054355110452
7545240626343
oct123543306740
931885272615
1011233234400
1148449602a3
122215ba2428
1310a0349b7b
14787c6445a
1545b2b0b35
hex29d8d8de0

11233234400 has 72 divisors (see below), whose sum is σ = 28307813184. Its totient is φ = 4348339200.

The previous prime is 11233234367. The next prime is 11233234421. The reversal of 11233234400 is 443233211.

11233234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201677 + ... + 251276.

It is an arithmetic number, because the mean of its divisors is an integer number (393164072).

Almost surely, 211233234400 is an apocalyptic number.

11233234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11233234400 is an abundant number, since it is smaller than the sum of its proper divisors (17074578784).

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

11233234400 is a wasteful number, since it uses less digits than its factorization.

11233234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453004 (or 452991 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 11233234400 its reverse (443233211), we get a palindrome (11676467611).

The spelling of 11233234400 in words is "eleven billion, two hundred thirty-three million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 452953 905906 1811812 2264765 3623624 4529530 7247248 9059060 11323825 14041543 14494496 18118120 22647650 28083086 36236240 45295300 56166172 70207715 72472480 90590600 112332344 140415430 181181200 224664688 280830860 351038575 362362400 449329376 561661720 702077150 1123323440 1404154300 2246646880 2808308600 5616617200 11233234400