Search a number
-
+
23232330 = 23251131757
BaseRepresentation
bin101100010011…
…1111101001010
31121201022202200
41120213331022
521421413310
62145541030
7401320512
oct130477512
947638680
1023232330
1112128880
127944776
134a75754
14312a842
15208d9c0
hex1627f4a

23232330 has 96 divisors (see below), whose sum is σ = 68110848. Its totient is φ = 5443200.

The previous prime is 23232311. The next prime is 23232331. The reversal of 23232330 is 3323232.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23232331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30312 + ... + 31068.

It is an arithmetic number, because the mean of its divisors is an integer number (709488).

Almost surely, 223232330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23232330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34055424).

23232330 is an abundant number, since it is smaller than the sum of its proper divisors (44878518).

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

23232330 is a wasteful number, since it uses less digits than its factorization.

23232330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

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

The square root of 23232330 is about 4819.9927385837. The cubic root of 23232330 is about 285.3410506230.

Adding to 23232330 its reverse (3323232), we get a palindrome (26555562).

The spelling of 23232330 in words is "twenty-three million, two hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 757 930 990 1023 1395 1514 1705 2046 2271 2790 3069 3410 3785 4542 5115 6138 6813 7570 8327 10230 11355 13626 15345 16654 22710 23467 24981 30690 34065 41635 46934 49962 68130 70401 74943 83270 117335 124905 140802 149886 211203 234670 249810 258137 352005 374715 422406 516274 704010 749430 774411 1056015 1290685 1548822 2112030 2323233 2581370 3872055 4646466 7744110 11616165 23232330