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23222010132 = 22321747338017
BaseRepresentation
bin10101101000001000…
…111100000100010100
32012221101022100020100
4111220020330010110
5340024313311012
614400144134100
71451314554306
oct255010740424
965841270210
1023222010132
119937245a12
124601007330
1322610817c9
1411a419d976
1590da658dc
hex56823c114

23222010132 has 72 divisors (see below), whose sum is σ = 62173913256. Its totient is φ = 7282888704.

The previous prime is 23222010109. The next prime is 23222010169. The reversal of 23222010132 is 23101022232.

It can be written as a sum of positive squares in 4 ways, for example, as 3595681296 + 19626328836 = 59964^2 + 140094^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2892588 + ... + 2900604.

It is an arithmetic number, because the mean of its divisors is an integer number (863526573).

Almost surely, 223222010132 is an apocalyptic number.

It is an amenable number.

23222010132 is an abundant number, since it is smaller than the sum of its proper divisors (38951903124).

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

23222010132 is a wasteful number, since it uses less digits than its factorization.

23222010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23222010132 its reverse (23101022232), we get a palindrome (46323032364).

The spelling of 23222010132 in words is "twenty-three billion, two hundred twenty-two million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4733 8017 9466 14199 16034 18932 24051 28398 32068 42597 48102 56796 72153 80461 85194 96204 136289 144306 160922 170388 241383 272578 288612 321844 408867 482766 545156 724149 817734 965532 1226601 1448298 1635468 2453202 2896596 4906404 37944461 75888922 113833383 151777844 227666766 341500149 455333532 645055837 683000298 1290111674 1366000596 1935167511 2580223348 3870335022 5805502533 7740670044 11611005066 23222010132