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23000700 = 22352431783
BaseRepresentation
bin101011110111…
…1011001111100
31121021120000210
41113233121330
521342010300
62140552420
7366334302
oct127573174
947246023
1023000700
1111a8a848
127852710
1349c41a8
1430aa272
152045050
hex15ef67c

23000700 has 72 divisors (see below), whose sum is σ = 68134528. Its totient is φ = 5987520.

The previous prime is 23000699. The next prime is 23000701. The reversal of 23000700 is 700032.

It is an interprime number because it is at equal distance from previous prime (23000699) and next prime (23000701).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12009 + ... + 13791.

Almost surely, 223000700 is an apocalyptic number.

23000700 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 23000700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34067264).

23000700 is an abundant number, since it is smaller than the sum of its proper divisors (45133828).

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

23000700 is a wasteful number, since it uses less digits than its factorization.

23000700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 23000700 is about 4795.9045028024. The cubic root of 23000700 is about 284.3895830383.

Adding to 23000700 its reverse (700032), we get a palindrome (23700732).

The spelling of 23000700 in words is "twenty-three million, seven hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 1783 2150 2580 3225 3566 4300 5349 6450 7132 8915 10698 12900 17830 21396 26745 35660 44575 53490 76669 89150 106980 133725 153338 178300 230007 267450 306676 383345 460014 534900 766690 920028 1150035 1533380 1916725 2300070 3833450 4600140 5750175 7666900 11500350 23000700