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23200386 = 2311714951
BaseRepresentation
bin101100010000…
…0001010000010
31121122200221120
41120200022002
521414403021
62145133110
7401125416
oct130401202
947580846
1023200386
1112106880
12792a196
134a64051
14311cd46
1520842c6
hex1620282

23200386 has 32 divisors (see below), whose sum is σ = 51342336. Its totient is φ = 6930000.

The previous prime is 23200381. The next prime is 23200417. The reversal of 23200386 is 68300232.

It is not an unprimeable number, because it can be changed into a prime (23200381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 7161.

It is an arithmetic number, because the mean of its divisors is an integer number (1604448).

Almost surely, 223200386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23200386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25671168).

23200386 is an abundant number, since it is smaller than the sum of its proper divisors (28141950).

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

23200386 is a wasteful number, since it uses less digits than its factorization.

23200386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23200386 is about 4816.6779007943. The cubic root of 23200386 is about 285.2102111802.

The spelling of 23200386 in words is "twenty-three million, two hundred thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 4686 4951 9902 14853 29706 54461 108922 163383 326766 351521 703042 1054563 2109126 3866731 7733462 11600193 23200386