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23312200 = 2352229509
BaseRepresentation
bin101100011101…
…1011101001000
31121212101022211
41120323131020
521431442300
62151354504
7402102412
oct130733510
947771284
1023312200
111218288a
127982a34
134aa2c02
14314b9b2
1520a74ba
hex163b748

23312200 has 48 divisors (see below), whose sum is σ = 54544500. Its totient is φ = 9265920.

The previous prime is 23312147. The next prime is 23312227. The reversal of 23312200 is 221332.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 17994564 + 5317636 = 4242^2 + 2306^2 .

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 11 ways as a sum of consecutive naturals, for example, 45546 + ... + 46054.

Almost surely, 223312200 is an apocalyptic number.

23312200 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 23312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27272250).

23312200 is an abundant number, since it is smaller than the sum of its proper divisors (31232300).

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

23312200 is a wasteful number, since it uses less digits than its factorization.

23312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 23312200 is about 4828.2709120347. The cubic root of 23312200 is about 285.6676662031.

Adding to 23312200 its reverse (221332), we get a palindrome (23533532).

The spelling of 23312200 in words is "twenty-three million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 229 458 509 916 1018 1145 1832 2036 2290 2545 4072 4580 5090 5725 9160 10180 11450 12725 20360 22900 25450 45800 50900 101800 116561 233122 466244 582805 932488 1165610 2331220 2914025 4662440 5828050 11656100 23312200