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232144016 = 24131116077
BaseRepresentation
bin11011101011000…
…11110010010000
3121011211010201112
431311203302100
5433412102031
635011352452
75516122466
oct1565436220
9534733645
10232144016
1110a048265
12658b2728
1339130130
1422b8c836
15155a862b
hexdd63c90

232144016 has 20 divisors (see below), whose sum is σ = 484377852. Its totient is φ = 107143296.

The previous prime is 232144007. The next prime is 232144019. The reversal of 232144016 is 610441232.

232144016 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 2 ways, for example, as 27081616 + 205062400 = 5204^2 + 14320^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232143982 and 232144000.

It is not an unprimeable number, because it can be changed into a prime (232144019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 557831 + ... + 558246.

Almost surely, 2232144016 is an apocalyptic number.

232144016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

232144016 is an abundant number, since it is smaller than the sum of its proper divisors (252233836).

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

232144016 is a wasteful number, since it uses less digits than its factorization.

232144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116098 (or 1116092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 232144016 is about 15236.2730350962. The cubic root of 232144016 is about 614.5904833146.

Adding to 232144016 its reverse (610441232), we get a palindrome (842585248).

The spelling of 232144016 in words is "two hundred thirty-two million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 1116077 2232154 4464308 8928616 14509001 17857232 29018002 58036004 116072008 232144016