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23205234400 = 255229006543
BaseRepresentation
bin10101100111001000…
…111100011011100000
32012220012202001020221
4111213020330123200
5340011020000100
614354344412424
71451022144415
oct254710743340
965805661227
1023205234400
119928828077
1245b7477114
13225a759b3a
1411a1c7410c
1590c35001a
hex56723c6e0

23205234400 has 36 divisors (see below), whose sum is σ = 56649780432. Its totient is φ = 9282093440.

The previous prime is 23205234397. The next prime is 23205234427. The reversal of 23205234400 is 443250232.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 5 ways as a sum of consecutive naturals, for example, 14502472 + ... + 14504071.

It is an arithmetic number, because the mean of its divisors is an integer number (1573605012).

Almost surely, 223205234400 is an apocalyptic number.

23205234400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23205234400 is an abundant number, since it is smaller than the sum of its proper divisors (33444546032).

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

23205234400 is a wasteful number, since it uses less digits than its factorization.

23205234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29006563 (or 29006550 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 23205234400 its reverse (443250232), we get a palindrome (23648484632).

The spelling of 23205234400 in words is "twenty-three billion, two hundred five million, two 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 29006543 58013086 116026172 145032715 232052344 290065430 464104688 580130860 725163575 928209376 1160261720 1450327150 2320523440 2900654300 4641046880 5801308600 11602617200 23205234400