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232003016 = 23729373383
BaseRepresentation
bin11011101010000…
…01010111001000
3121011112222022022
431311001113020
5433343044031
635004344012
75514664430
oct1565012710
9534488268
10232003016
11109a61333
1265845008
13390b0bbb
1422b532c0
151557b97b
hexdd415c8

232003016 has 64 divisors (see below), whose sum is σ = 517017600. Its totient is φ = 95493888.

The previous prime is 232003007. The next prime is 232003027. The reversal of 232003016 is 610300232.

232003016 is a modest number, since divided by 3016 gives 232 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 232002985 and 232003003.

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 15 ways as a sum of consecutive naturals, for example, 605561 + ... + 605943.

It is an arithmetic number, because the mean of its divisors is an integer number (8078400).

Almost surely, 2232003016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232003016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258508800).

232003016 is an abundant number, since it is smaller than the sum of its proper divisors (285014584).

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

232003016 is a wasteful number, since it uses less digits than its factorization.

232003016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 232003016 is about 15231.6452164564. The cubic root of 232003016 is about 614.4660278002.

Adding to 232003016 its reverse (610300232), we get a palindrome (842303248).

The spelling of 232003016 in words is "two hundred thirty-two million, three thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 373 383 406 746 766 812 1492 1532 1624 2611 2681 2984 3064 5222 5362 10444 10724 10817 11107 20888 21448 21634 22214 43268 44428 75719 77749 86536 88856 142859 151438 155498 285718 302876 310996 571436 605752 621992 1000013 1142872 2000026 4000052 4142911 8000104 8285822 16571644 29000377 33143288 58000754 116001508 232003016