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23243200 = 265273199
BaseRepresentation
bin101100010101…
…0100111000000
31121201212200021
41120222213000
521422240300
62150103224
7401364301
oct130524700
947655607
1023243200
1112135a62
12794ab14
134a7a696
1431307a8
152091d1a
hex162a9c0

23243200 has 84 divisors (see below), whose sum is σ = 58267600. Its totient is φ = 9123840.

The previous prime is 23243191. The next prime is 23243201. The reversal of 23243200 is 234232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23243201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116701 + ... + 116899.

Almost surely, 223243200 is an apocalyptic number.

23243200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29133800).

23243200 is an abundant number, since it is smaller than the sum of its proper divisors (35024400).

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

23243200 is a wasteful number, since it uses less digits than its factorization.

23243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23243200 is about 4821.1202017788. The cubic root of 23243200 is about 285.3855457096.

Adding to 23243200 its reverse (234232), we get a palindrome (23477432).

The spelling of 23243200 in words is "twenty-three million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 146 160 199 200 292 320 365 398 400 584 730 796 800 995 1168 1460 1592 1600 1825 1990 2336 2920 3184 3650 3980 4672 4975 5840 6368 7300 7960 9950 11680 12736 14527 14600 15920 19900 23360 29054 29200 31840 39800 58108 58400 63680 72635 79600 116216 116800 145270 159200 232432 290540 318400 363175 464864 581080 726350 929728 1162160 1452700 2324320 2905400 4648640 5810800 11621600 23243200