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234144140 = 225233713757
BaseRepresentation
bin11011111010011…
…00000110001100
3121022120202101012
431331030012030
5434420103030
635122304352
75542122656
oct1575140614
9538522335
10234144140
11110193a5a
12664b80b8
1339680639
142314d6d6
1515851095
hexdf4c18c

234144140 has 48 divisors (see below), whose sum is σ = 526986432. Its totient is φ = 87158016.

The previous prime is 234144133. The next prime is 234144151. The reversal of 234144140 is 41441432.

It is a happy number.

234144140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10142 + ... + 23898.

It is an arithmetic number, because the mean of its divisors is an integer number (10978884).

Almost surely, 2234144140 is an apocalyptic number.

234144140 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 234144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263493216).

234144140 is an abundant number, since it is smaller than the sum of its proper divisors (292842292).

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

234144140 is a wasteful number, since it uses less digits than its factorization.

234144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13826 (or 13824 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 234144140 is about 15301.7691787584. The cubic root of 234144140 is about 616.3505166239.

Adding to 234144140 its reverse (41441432), we get a palindrome (275585572).

The spelling of 234144140 in words is "two hundred thirty-four million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 460 740 851 1702 3404 4255 8510 13757 17020 27514 55028 68785 137570 275140 316411 509009 632822 1018018 1265644 1582055 2036036 2545045 3164110 5090090 6328220 10180180 11707207 23414414 46828828 58536035 117072070 234144140