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23233320 = 23325115867
BaseRepresentation
bin101100010100…
…0001100101000
31121201101010100
41120220030220
521421431240
62145545400
7401323425
oct130501450
947641110
1023233320
11121295a0
127945260
134a76036
14312ad4c
15208de30
hex1628328

23233320 has 96 divisors (see below), whose sum is σ = 82386720. Its totient is φ = 5631360.

The previous prime is 23233307. The next prime is 23233337. The reversal of 23233320 is 2333232.

It is a super-3 number, since 3×232333203 (a number of 23 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23233293 and 23233302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1027 + ... + 6893.

It is an arithmetic number, because the mean of its divisors is an integer number (858195).

Almost surely, 223233320 is an apocalyptic number.

23233320 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 23233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41193360).

23233320 is an abundant number, since it is smaller than the sum of its proper divisors (59153400).

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

23233320 is a wasteful number, since it uses less digits than its factorization.

23233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 23233320 is about 4820.0954347399. The cubic root of 23233320 is about 285.3451036478.

Adding to 23233320 its reverse (2333232), we get a palindrome (25566552).

The spelling of 23233320 in words is "twenty-three million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5867 11734 17601 23468 29335 35202 46936 52803 58670 64537 70404 88005 105606 117340 129074 140808 176010 193611 211212 234680 258148 264015 322685 352020 387222 422424 516296 528030 580833 645370 704040 774444 968055 1056060 1161666 1290740 1548888 1936110 2112120 2323332 2581480 2904165 3872220 4646664 5808330 7744440 11616660 23233320