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232017040 = 2455354721
BaseRepresentation
bin11011101010001…
…00110010010000
3121011120200112201
431311010302100
5433344021130
635004532544
75515053343
oct1565046220
9534520481
10232017040
11109a70922
1265851154
13390b73b8
1422b5845a
1515580bca
hexdd44c90

232017040 has 40 divisors (see below), whose sum is σ = 549627768. Its totient is φ = 91054080.

The previous prime is 232017017. The next prime is 232017043. The reversal of 232017040 is 40710232.

It can be written as a sum of positive squares in 4 ways, for example, as 63744256 + 168272784 = 7984^2 + 12972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 232016999 and 232017017.

It is not an unprimeable number, because it can be changed into a prime (232017043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23121 + ... + 31600.

Almost surely, 2232017040 is an apocalyptic number.

232017040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232017040 is an abundant number, since it is smaller than the sum of its proper divisors (317610728).

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

232017040 is a wasteful number, since it uses less digits than its factorization.

232017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54787 (or 54781 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 232017040 is about 15232.1055668611. The cubic root of 232017040 is about 614.4784085271.

Adding to 232017040 its reverse (40710232), we get a palindrome (272727272).

The spelling of 232017040 in words is "two hundred thirty-two million, seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 54721 109442 218884 273605 437768 547210 875536 1094420 2188840 2900213 4377680 5800426 11600852 14501065 23201704 29002130 46403408 58004260 116008520 232017040