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235146144 = 2532449439
BaseRepresentation
bin11100000010000…
…00101110100000
3121101110122212110
432001000232200
5440144134034
635155555320
75553465162
oct1601005640
9541418773
10235146144
11110808862
12668bbb40
133994173c
1423330932
151599cde9
hexe040ba0

235146144 has 24 divisors (see below), whose sum is σ = 617258880. Its totient is φ = 78382016.

The previous prime is 235146127. The next prime is 235146157. The reversal of 235146144 is 441641532.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1224624 + ... + 1224815.

It is an arithmetic number, because the mean of its divisors is an integer number (25719120).

Almost surely, 2235146144 is an apocalyptic number.

235146144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

235146144 is an abundant number, since it is smaller than the sum of its proper divisors (382112736).

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

235146144 is a wasteful number, since it uses less digits than its factorization.

235146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449452 (or 2449444 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 235146144 is about 15334.4756675929. The cubic root of 235146144 is about 617.2284755307.

Adding to 235146144 its reverse (441641532), we get a palindrome (676787676).

The spelling of 235146144 in words is "two hundred thirty-five million, one hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2449439 4898878 7348317 9797756 14696634 19595512 29393268 39191024 58786536 78382048 117573072 235146144