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23147200 = 2652172337
BaseRepresentation
bin101100001001…
…1001011000000
31121112222222201
41120103023000
521411202300
62144042544
7400514356
oct130231300
947488881
1023147200
111207a91a
127903454
134a45a8b
1431077d6
15207366a
hex16132c0

23147200 has 168 divisors, whose sum is σ = 64629792. Its totient is φ = 8110080.

The previous prime is 23147197. The next prime is 23147221. The reversal of 23147200 is 274132.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625582 + ... + 625618.

Almost surely, 223147200 is an apocalyptic number.

23147200 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 23147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32314896).

23147200 is an abundant number, since it is smaller than the sum of its proper divisors (41482592).

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

23147200 is a wasteful number, since it uses less digits than its factorization.

23147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 23147200 is about 4811.1537077919. The cubic root of 23147200 is about 284.9920999144.

It can be divided in two parts, 23 and 147200, that multiplied together give a square (3385600 = 18402).

The spelling of 23147200 in words is "twenty-three million, one hundred forty-seven thousand, two hundred".