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23223960 = 23325312081
BaseRepresentation
bin101100010010…
…1111010011000
31121200220021200
41120211322120
521421131320
62145434200
7401254224
oct130457230
947626250
1023223960
1112122561
12793b960
134a719b6
143127784
15208b290
hex1625e98

23223960 has 96 divisors (see below), whose sum is σ = 77950080. Its totient is φ = 5990400.

The previous prime is 23223923. The next prime is 23223961. The reversal of 23223960 is 6932232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23223961) 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, 10120 + ... + 12200.

It is an arithmetic number, because the mean of its divisors is an integer number (811980).

Almost surely, 223223960 is an apocalyptic number.

23223960 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 23223960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38975040).

23223960 is an abundant number, since it is smaller than the sum of its proper divisors (54726120).

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

23223960 is a wasteful number, since it uses less digits than its factorization.

23223960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 23223960 is about 4819.1244017975. The cubic root of 23223960 is about 285.3067795380.

The spelling of 23223960 in words is "twenty-three million, two hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2081 2232 2790 3720 4162 5580 6243 8324 10405 11160 12486 16648 18729 20810 24972 31215 37458 41620 49944 62430 64511 74916 83240 93645 124860 129022 149832 187290 193533 249720 258044 322555 374580 387066 516088 580599 645110 749160 774132 967665 1161198 1290220 1548264 1935330 2322396 2580440 2902995 3870660 4644792 5805990 7741320 11611980 23223960