Search a number
-
+
23042224032 = 2535310144839
BaseRepresentation
bin10101011101011011…
…000110111110100000
32012110212000021001220
4111131123012332200
5334142302132112
614330242455040
71444002446502
oct253533067640
965425007056
1023042224032
119854809a63
124570964480
132232a540b9
14118835dd72
158ecda098c
hex55d6c6fa0

23042224032 has 96 divisors (see below), whose sum is σ = 62238637440. Its totient is φ = 7461043200.

The previous prime is 23042223991. The next prime is 23042224033.

It is a happy number.

23042224032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23042223993 and 23042224011.

It is not an unprimeable number, because it can be changed into a prime (23042224033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491469 + ... + 536307.

It is an arithmetic number, because the mean of its divisors is an integer number (648319140).

Almost surely, 223042224032 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 23042224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31119318720).

23042224032 is an abundant number, since it is smaller than the sum of its proper divisors (39196413408).

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

23042224032 is a wasteful number, since it uses less digits than its factorization.

23042224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45006 (or 44998 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The spelling of 23042224032 in words is "twenty-three billion, forty-two million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 101 106 159 202 212 303 318 404 424 606 636 808 848 1212 1272 1616 1696 2424 2544 3232 4848 5088 5353 9696 10706 16059 21412 32118 42824 44839 64236 85648 89678 128472 134517 171296 179356 256944 269034 358712 513888 538068 717424 1076136 1434848 2152272 2376467 4304544 4528739 4752934 7129401 9057478 9505868 13586217 14258802 18114956 19011736 27172434 28517604 36229912 38023472 54344868 57035208 72459824 76046944 108689736 114070416 144919648 217379472 228140832 240023167 434758944 480046334 720069501 960092668 1440139002 1920185336 2880278004 3840370672 5760556008 7680741344 11521112016 23042224032