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23069800 = 23521319467
BaseRepresentation
bin101100000000…
…0010001101000
31121102001211001
41120000101220
521401213200
62142244344
7400042615
oct130002150
947361731
1023069800
1112027756
1278866b4
134a19790
1430c750c
15205a76a
hex1600468

23069800 has 96 divisors (see below), whose sum is σ = 60933600. Its totient is φ = 8052480.

The previous prime is 23069777. The next prime is 23069803. The reversal of 23069800 is 896032.

It is not an unprimeable number, because it can be changed into a prime (23069803) 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 23 ways as a sum of consecutive naturals, for example, 49167 + ... + 49633.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 223069800 is an apocalyptic number.

23069800 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 23069800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30466800).

23069800 is an abundant number, since it is smaller than the sum of its proper divisors (37863800).

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

23069800 is a wasteful number, since it uses less digits than its factorization.

23069800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 23069800 is about 4803.1031635808. The cubic root of 23069800 is about 284.6740913905.

The spelling of 23069800 in words is "twenty-three million, sixty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 260 325 380 467 475 494 520 650 760 934 950 988 1235 1300 1868 1900 1976 2335 2470 2600 3736 3800 4670 4940 6071 6175 8873 9340 9880 11675 12142 12350 17746 18680 23350 24284 24700 30355 35492 44365 46700 48568 49400 60710 70984 88730 93400 115349 121420 151775 177460 221825 230698 242840 303550 354920 443650 461396 576745 607100 887300 922792 1153490 1214200 1774600 2306980 2883725 4613960 5767450 11534900 23069800