Search a number
-
+
23142220134 = 231119179103099
BaseRepresentation
bin10101100011011000…
…100100000101100110
32012201211011120221020
4111203120210011212
5334343402021014
614344214032010
71446325424355
oct254330440546
965654146836
1023142220134
1198a61a8570
12459a348606
13224a695ba7
14119774d99c
15906a541a9
hex563624166

23142220134 has 64 divisors (see below), whose sum is σ = 53447040000. Its totient is φ = 6606519840.

The previous prime is 23142220051. The next prime is 23142220169. The reversal of 23142220134 is 43102224132.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172917 + ... + 276015.

It is an arithmetic number, because the mean of its divisors is an integer number (835110000).

Almost surely, 223142220134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23142220134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26723520000).

23142220134 is an abundant number, since it is smaller than the sum of its proper divisors (30304819866).

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

23142220134 is a wasteful number, since it uses less digits than its factorization.

23142220134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103313.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23142220134 its reverse (43102224132), we get a palindrome (66244444266).

The spelling of 23142220134 in words is "twenty-three billion, one hundred forty-two million, two hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 179 209 358 418 537 627 1074 1254 1969 3401 3938 5907 6802 10203 11814 20406 37411 74822 103099 112233 206198 224466 309297 618594 1134089 1958881 2268178 3402267 3917762 5876643 6804534 11753286 18454721 21547691 36909442 43095382 55364163 64643073 110728326 129286146 203001931 350639699 406003862 609005793 701279398 1051919097 1218011586 2103838194 3857036689 7714073378 11571110067 23142220134