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23232664 = 2372134797
BaseRepresentation
bin101100010100…
…0000010011000
31121201100020001
41120220002120
521421421124
62145542344
7401321500
oct130500230
947640201
1023232664
1112129054
1279449b4
134a75950
14312aa00
15208db44
hex1628098

23232664 has 96 divisors (see below), whose sum is σ = 56306880. Its totient is φ = 8902656.

The previous prime is 23232661. The next prime is 23232673. The reversal of 23232664 is 46623232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232661) 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, 239464 + ... + 239560.

It is an arithmetic number, because the mean of its divisors is an integer number (586530).

Almost surely, 223232664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23232664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153440).

23232664 is an abundant number, since it is smaller than the sum of its proper divisors (33074216).

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

23232664 is a wasteful number, since it uses less digits than its factorization.

23232664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 23232664 is about 4820.0273858143. The cubic root of 23232664 is about 285.3424180200.

Adding to 23232664 its reverse (46623232), we get a palindrome (69855896).

It can be divided in two parts, 232 and 32664, that added together give a triangular number (32896 = T256).

The spelling of 23232664 in words is "twenty-three million, two hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 47 49 52 56 91 94 97 98 104 182 188 194 196 329 364 376 388 392 611 637 658 679 728 776 1222 1261 1274 1316 1358 2303 2444 2522 2548 2632 2716 4277 4559 4606 4753 4888 5044 5096 5432 8554 8827 9118 9212 9506 10088 17108 17654 18236 18424 19012 29939 31913 34216 35308 36472 38024 59267 59878 61789 63826 70616 118534 119756 123578 127652 223391 237068 239512 247156 255304 414869 446782 474136 494312 829738 893564 1659476 1787128 2904083 3318952 5808166 11616332 23232664