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23256200 = 2352112312
BaseRepresentation
bin101100010110…
…1110010001000
31121202112111202
41120231302020
521423144300
62150243332
7401450222
oct130556210
947675452
1023256200
1112144800
127956548
134a83586
143135412
152095ad5
hex162dc88

23256200 has 108 divisors (see below), whose sum is σ = 61412085. Its totient is φ = 8184000.

The previous prime is 23256193. The next prime is 23256203. The reversal of 23256200 is 265232.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22791076 + 465124 = 4774^2 + 682^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3410.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23256203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 750185 + ... + 750215.

Almost surely, 223256200 is an apocalyptic number.

23256200 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 23256200

23256200 is an abundant number, since it is smaller than the sum of its proper divisors (38155885).

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

23256200 is a wasteful number, since it uses less digits than its factorization.

23256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 23256200 is about 4822.4682476923. The cubic root of 23256200 is about 285.4387414921.

The spelling of 23256200 in words is "twenty-three million, two hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 121 124 155 200 220 242 248 275 310 341 440 484 550 605 620 682 775 961 968 1100 1210 1240 1364 1550 1705 1922 2200 2420 2728 3025 3100 3410 3751 3844 4805 4840 6050 6200 6820 7502 7688 8525 9610 10571 12100 13640 15004 17050 18755 19220 21142 24025 24200 30008 34100 37510 38440 42284 48050 52855 68200 75020 84568 93775 96100 105710 116281 150040 187550 192200 211420 232562 264275 375100 422840 465124 528550 581405 750200 930248 1057100 1162810 2114200 2325620 2907025 4651240 5814050 11628100 23256200