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234144200 = 23521170721
BaseRepresentation
bin11011111010011…
…00000111001000
3121022120202110102
431331030013020
5434420103300
635122304532
75542123103
oct1575140710
9538522412
10234144200
11110194004
12664b8148
1339680684
142314d73a
15158510d5
hexdf4c1c8

234144200 has 24 divisors (see below), whose sum is σ = 544385730. Its totient is φ = 93657600.

The previous prime is 234144199. The next prime is 234144217. The reversal of 234144200 is 2441432.

234144200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 183819364 + 50324836 = 13558^2 + 7094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585161 + ... + 585560.

Almost surely, 2234144200 is an apocalyptic number.

234144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234144200 is an abundant number, since it is smaller than the sum of its proper divisors (310241530).

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

234144200 is a wasteful number, since it uses less digits than its factorization.

234144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170737 (or 1170728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234144200 is about 15301.7711393159. The cubic root of 234144200 is about 616.3505692710.

Adding to 234144200 its reverse (2441432), we get a palindrome (236585632).

The spelling of 234144200 in words is "two hundred thirty-four million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1170721 2341442 4682884 5853605 9365768 11707210 23414420 29268025 46828840 58536050 117072100 234144200