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23135464 = 231119101137
BaseRepresentation
bin101100001000…
…0010011101000
31121112101220001
41120100103220
521410313324
62143512344
7400435222
oct130202350
947471801
1023135464
1112072020
1278b86b4
134a40631
143103412
15206ee44
hex16104e8

23135464 has 64 divisors (see below), whose sum is σ = 50673600. Its totient is φ = 9792000.

The previous prime is 23135459. The next prime is 23135473. The reversal of 23135464 is 46453132.

Its product of digits (8640) is a multiple of the sum of its prime divisors (270).

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, 168804 + ... + 168940.

It is an arithmetic number, because the mean of its divisors is an integer number (791775).

Almost surely, 223135464 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 23135464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25336800).

23135464 is an abundant number, since it is smaller than the sum of its proper divisors (27538136).

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

23135464 is a wasteful number, since it uses less digits than its factorization.

23135464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 23135464 is about 4809.9338872795. The cubic root of 23135464 is about 284.9439265902.

Adding to 23135464 its reverse (46453132), we get a palindrome (69588596).

It can be divided in two parts, 2313 and 5464, that added together give a palindrome (7777).

The spelling of 23135464 in words is "twenty-three million, one hundred thirty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 101 137 152 202 209 274 404 418 548 808 836 1096 1111 1507 1672 1919 2222 2603 3014 3838 4444 5206 6028 7676 8888 10412 12056 13837 15352 20824 21109 27674 28633 42218 55348 57266 84436 110696 114532 152207 168872 229064 262903 304414 525806 608828 1051612 1217656 2103224 2891933 5783866 11567732 23135464