Search a number
-
+
223332032 = 2671145319
BaseRepresentation
bin11010100111111…
…00011011000000
3120120020102221202
431103330123000
5424133111112
634054440332
75351201540
oct1523743300
9516212852
10223332032
11105079730
12629630a8
1337366241
1421937320
15149176c2
hexd4fc6c0

223332032 has 56 divisors (see below), whose sum is σ = 552541440. Its totient is φ = 87010560.

The previous prime is 223332017. The next prime is 223332071. The reversal of 223332032 is 230233322.

223332032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 223331995 and 223332013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17732 + ... + 27587.

Almost surely, 2223332032 is an apocalyptic number.

223332032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

223332032 is an abundant number, since it is smaller than the sum of its proper divisors (329209408).

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

223332032 is a wasteful number, since it uses less digits than its factorization.

223332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45349 (or 45339 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 223332032 is about 14944.2976415755. The cubic root of 223332032 is about 606.7135194396.

Adding to 223332032 its reverse (230233322), we get a palindrome (453565354).

The spelling of 223332032 in words is "two hundred twenty-three million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 45319 90638 181276 317233 362552 498509 634466 725104 997018 1268932 1450208 1994036 2537864 2900416 3489563 3988072 5075728 6979126 7976144 10151456 13958252 15952288 20302912 27916504 31904576 55833008 111666016 223332032