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232001424 = 24323474643
BaseRepresentation
bin11011101010000…
…00111110010000
3121011112220010100
431311000332100
5433343021144
635004332400
75514656664
oct1565007620
9534486110
10232001424
11109a60116
1265844100
13390b0265
1422b528a4
151557b269
hexdd40f90

232001424 has 60 divisors (see below), whose sum is σ = 651293136. Its totient is φ = 77094336.

The previous prime is 232001401. The next prime is 232001449. The reversal of 232001424 is 424100232.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232001397 and 232001406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47647 + ... + 52289.

Almost surely, 2232001424 is an apocalyptic number.

232001424 is a gapful number since it is divisible by the number (24) 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 232001424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325646568).

232001424 is an abundant number, since it is smaller than the sum of its proper divisors (419291712).

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

232001424 is a wasteful number, since it uses less digits than its factorization.

232001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 232001424 is about 15231.5929567462. The cubic root of 232001424 is about 614.4646223125.

Adding to 232001424 its reverse (424100232), we get a palindrome (656101656).

The spelling of 232001424 in words is "two hundred thirty-two million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2776 3123 4164 4643 5552 6246 8328 9286 12492 13929 16656 18572 24984 27858 37144 41787 49968 55716 74288 83574 111432 167148 222864 334296 668592 1611121 3222242 4833363 6444484 9666726 12888968 14500089 19333452 25777936 29000178 38666904 58000356 77333808 116000712 232001424