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23323140 = 223554799
BaseRepresentation
bin101100011111…
…0001000000100
31121212221100000
41120332020010
521432320030
62151521300
7402146331
oct130761004
947787300
1023323140
1112190025
127989230
134aa7b99
143151988
1520aa860
hex163e204

23323140 has 72 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 6218208.

The previous prime is 23323121. The next prime is 23323147. The reversal of 23323140 is 4132332.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23323147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2461 + ... + 7259.

It is an arithmetic number, because the mean of its divisors is an integer number (1019200).

Almost surely, 223323140 is an apocalyptic number.

23323140 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 23323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

23323140 is an abundant number, since it is smaller than the sum of its proper divisors (50059260).

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

23323140 is a wasteful number, since it uses less digits than its factorization.

23323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23323140 is about 4829.4036898980. The cubic root of 23323140 is about 285.7123454630.

Adding to 23323140 its reverse (4132332), we get a palindrome (27455472).

The spelling of 23323140 in words is "twenty-three million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4799 4860 9598 14397 19196 23995 28794 43191 47990 57588 71985 86382 95980 129573 143970 172764 215955 259146 287940 388719 431910 518292 647865 777438 863820 1166157 1295730 1554876 1943595 2332314 2591460 3887190 4664628 5830785 7774380 11661570 23323140