Search a number
-
+
23235800 = 2352722371
BaseRepresentation
bin101100010100…
…0110011011000
31121201111112012
41120220303120
521422021200
62150005052
7401333600
oct130506330
947644465
1023235800
1112130445
127946788
134a771c3
14312bc00
15208ea35
hex1628cd8

23235800 has 72 divisors (see below), whose sum is σ = 62869860. Its totient is φ = 7963200.

The previous prime is 23235791. The next prime is 23235829. The reversal of 23235800 is 853232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8615 + ... + 10985.

Almost surely, 223235800 is an apocalyptic number.

23235800 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 23235800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31434930).

23235800 is an abundant number, since it is smaller than the sum of its proper divisors (39634060).

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

23235800 is a wasteful number, since it uses less digits than its factorization.

23235800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 23235800 is about 4820.3526841923. The cubic root of 23235800 is about 285.3552561741.

The spelling of 23235800 in words is "twenty-three million, two hundred thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2371 2450 4742 4900 9484 9800 11855 16597 18968 23710 33194 47420 59275 66388 82985 94840 116179 118550 132776 165970 232358 237100 331940 414925 464716 474200 580895 663880 829850 929432 1161790 1659700 2323580 2904475 3319400 4647160 5808950 11617900 23235800