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23097312 = 253471967
BaseRepresentation
bin101100000011…
…0111111100000
31121110110120000
41120012333200
521403103222
62143020000
7400216050
oct130067740
947413500
1023097312
1112046397
12789a600
134a29164
1430d3560
1520639ac
hex1606fe0

23097312 has 240 divisors, whose sum is σ = 82938240. Its totient is φ = 6158592.

The previous prime is 23097307. The next prime is 23097317. The reversal of 23097312 is 21379032.

It is an interprime number because it is at equal distance from previous prime (23097307) and next prime (23097317).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23097317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344703 + ... + 344769.

It is an arithmetic number, because the mean of its divisors is an integer number (345576).

Almost surely, 223097312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23097312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41469120).

23097312 is an abundant number, since it is smaller than the sum of its proper divisors (59840928).

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

23097312 is a wasteful number, since it uses less digits than its factorization.

23097312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 23097312 is about 4805.9662920166. The cubic root of 23097312 is about 284.7872095842.

It can be divided in two parts, 23097 and 312, that added together give a square (23409 = 1532).

The spelling of 23097312 in words is "twenty-three million, ninety-seven thousand, three hundred twelve".