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23330320 = 2451322433
BaseRepresentation
bin101100011111…
…1111000010000
31121220022011221
41120333320100
521433032240
62152014424
7402206266
oct130777020
947808157
1023330320
1112195462
127991414
134aab230
143154436
1520aca4a
hex163fe10

23330320 has 40 divisors (see below), whose sum is σ = 58418136. Its totient is φ = 8613888.

The previous prime is 23330317. The next prime is 23330327. The reversal of 23330320 is 2303332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2972176 + 20358144 = 1724^2 + 4512^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23330294 and 23330303.

It is not an unprimeable number, because it can be changed into a prime (23330327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10177 + ... + 12256.

Almost surely, 223330320 is an apocalyptic number.

23330320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23330320 is an abundant number, since it is smaller than the sum of its proper divisors (35087816).

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

23330320 is a wasteful number, since it uses less digits than its factorization.

23330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22459 (or 22453 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 23330320 is about 4830.1469956928. The cubic root of 23330320 is about 285.7416611865.

Adding to 23330320 its reverse (2303332), we get a palindrome (25633652).

The spelling of 23330320 in words is "twenty-three million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 22433 44866 89732 112165 179464 224330 291629 358928 448660 583258 897320 1166516 1458145 1794640 2333032 2916290 4666064 5832580 11665160 23330320