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23223640 = 23511471123
BaseRepresentation
bin101100010010…
…1110101011000
31121200212211211
41120211311120
521421124030
62145432504
7401253256
oct130456530
947625754
1023223640
11121222a0
12793b734
134a717cb
1431275d6
15208b12a
hex1625d58

23223640 has 64 divisors (see below), whose sum is σ = 58268160. Its totient is φ = 8257920.

The previous prime is 23223559. The next prime is 23223667. The reversal of 23223640 is 4632232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20119 + ... + 21241.

It is an arithmetic number, because the mean of its divisors is an integer number (910440).

Almost surely, 223223640 is an apocalyptic number.

23223640 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 23223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29134080).

23223640 is an abundant number, since it is smaller than the sum of its proper divisors (35044520).

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

23223640 is a wasteful number, since it uses less digits than its factorization.

23223640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 23223640 is about 4819.0912006311. The cubic root of 23223640 is about 285.3054691300.

Adding to 23223640 its reverse (4632232), we get a palindrome (27855872).

The spelling of 23223640 in words is "twenty-three million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1123 1880 2068 2246 2585 4136 4492 5170 5615 8984 10340 11230 12353 20680 22460 24706 44920 49412 52781 61765 98824 105562 123530 211124 247060 263905 422248 494120 527810 580591 1055620 1161182 2111240 2322364 2902955 4644728 5805910 11611820 23223640