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23233028 = 2271383769
BaseRepresentation
bin101100010100…
…0001000000100
31121201100201112
41120220020010
521421424103
62145544152
7401322530
oct130501004
947640645
1023233028
1112129355
127945058
134a75b70
14312abc0
15208dcd8
hex1628204

23233028 has 48 divisors (see below), whose sum is σ = 50709120. Its totient is φ = 9068544.

The previous prime is 23232997. The next prime is 23233037. The reversal of 23233028 is 82033232.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23232994 and 23233012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29828 + ... + 30596.

It is an arithmetic number, because the mean of its divisors is an integer number (1056440).

Almost surely, 223233028 is an apocalyptic number.

23233028 is a gapful number since it is divisible by the number (28) 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 23233028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25354560).

23233028 is an abundant number, since it is smaller than the sum of its proper divisors (27476092).

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

23233028 is a wasteful number, since it uses less digits than its factorization.

23233028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 23233028 is about 4820.0651447880. The cubic root of 23233028 is about 285.3439082221.

The spelling of 23233028 in words is "twenty-three million, two hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 83 91 166 182 332 364 581 769 1079 1162 1538 2158 2324 3076 4316 5383 7553 9997 10766 15106 19994 21532 30212 39988 63827 69979 127654 139958 255308 279916 446789 829751 893578 1659502 1787156 3319004 5808257 11616514 23233028