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23223760 = 2457113367
BaseRepresentation
bin101100010010…
…1110111010000
31121200220000021
41120211313100
521421130020
62145433224
7401253520
oct130456720
947626007
1023223760
111212239a
12793b814
134a71891
143127680
15208b1aa
hex1625dd0

23223760 has 80 divisors (see below), whose sum is σ = 62424576. Its totient is φ = 7870464.

The previous prime is 23223731. The next prime is 23223763. The reversal of 23223760 is 6732232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23223763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63097 + ... + 63463.

Almost surely, 223223760 is an apocalyptic number.

23223760 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 23223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31212288).

23223760 is an abundant number, since it is smaller than the sum of its proper divisors (39200816).

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

23223760 is a wasteful number, since it uses less digits than its factorization.

23223760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 23223760 is about 4819.1036510953. The cubic root of 23223760 is about 285.3059605344.

Adding to 23223760 its reverse (6732232), we get a palindrome (29955992).

The spelling of 23223760 in words is "twenty-three million, two hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 113 140 226 280 367 452 560 565 734 791 904 1130 1468 1582 1808 1835 2260 2569 2936 3164 3670 3955 4520 5138 5872 6328 7340 7910 9040 10276 12656 12845 14680 15820 20552 25690 29360 31640 41104 41471 51380 63280 82942 102760 165884 205520 207355 290297 331768 414710 580594 663536 829420 1161188 1451485 1658840 2322376 2902970 3317680 4644752 5805940 11611880 23223760