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23300000 = 2555233
BaseRepresentation
bin101100011100…
…0011110100000
31121211202120222
41120320132200
521431100000
62151222212
7402022013
oct130703640
947752528
1023300000
11121746a9
127977968
134a9a4a9
14314737a
1520a3a85
hex16387a0

23300000 has 72 divisors (see below), whose sum is σ = 57582252. Its totient is φ = 9280000.

The previous prime is 23299967. The next prime is 23300027. The reversal of 23300000 is 332.

It can be written as a sum of positive squares in 6 ways, for example, as 5626384 + 17673616 = 2372^2 + 4204^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99884 + ... + 100116.

Almost surely, 223300000 is an apocalyptic number.

23300000 is a gapful number since it is divisible by the number (20) 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 23300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28791126).

23300000 is an abundant number, since it is smaller than the sum of its proper divisors (34282252).

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

23300000 is an frugal number, since it uses more digits than its factorization.

23300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 23300000 is about 4827.0073544589. The cubic root of 23300000 is about 285.6178245799.

Adding to 23300000 its reverse (332), we get a palindrome (23300332).

The spelling of 23300000 in words is "twenty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 233 250 400 466 500 625 800 932 1000 1165 1250 1864 2000 2330 2500 3125 3728 4000 4660 5000 5825 6250 7456 9320 10000 11650 12500 18640 20000 23300 25000 29125 37280 46600 50000 58250 93200 100000 116500 145625 186400 233000 291250 466000 582500 728125 932000 1165000 1456250 2330000 2912500 4660000 5825000 11650000 23300000