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232023400 = 2352753259
BaseRepresentation
bin11011101010001…
…10010101101000
3121011121000021021
431311012111220
5433344222100
635005022224
75515111030
oct1565062550
9534530237
10232023400
11109a75684
1265854974
13390ba26b
1422b5a8c0
1515582a1a
hexdd46568

232023400 has 144 divisors (see below), whose sum is σ = 639021600. Its totient is φ = 76727040.

The previous prime is 232023397. The next prime is 232023413. The reversal of 232023400 is 4320232.

232023400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3932571 + ... + 3932629.

It is an arithmetic number, because the mean of its divisors is an integer number (4437650).

Almost surely, 2232023400 is an apocalyptic number.

232023400 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 232023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319510800).

232023400 is an abundant number, since it is smaller than the sum of its proper divisors (406998200).

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

232023400 is a wasteful number, since it uses less digits than its factorization.

232023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 126 counting only the distinct ones).

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

The square root of 232023400 is about 15232.3143349919. The cubic root of 232023400 is about 614.4840231248.

Adding to 232023400 its reverse (4320232), we get a palindrome (236343632).

The spelling of 232023400 in words is "two hundred thirty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 59 70 100 106 118 140 175 200 212 236 265 280 295 350 371 413 424 472 530 590 700 742 826 1060 1180 1325 1400 1475 1484 1652 1855 2065 2120 2360 2650 2809 2950 2968 3127 3304 3710 4130 5300 5618 5900 6254 7420 8260 9275 10325 10600 11236 11800 12508 14045 14840 15635 16520 18550 19663 20650 21889 22472 25016 28090 31270 37100 39326 41300 43778 56180 62540 70225 74200 78175 78652 82600 87556 98315 109445 112360 125080 140450 156350 157304 165731 175112 196630 218890 280900 312700 331462 393260 437780 491575 547225 561800 625400 662924 786520 828655 875560 983150 1094450 1160117 1325848 1657310 1966300 2188900 2320234 3314620 3932600 4143275 4377800 4640468 5800585 6629240 8286550 9280936 11601170 16573100 23202340 29002925 33146200 46404680 58005850 116011700 232023400