Search a number
-
+
23122416147150 = 23522112692715859
BaseRepresentation
bin1010100000111100110110…
…11001101001101011001110
310000212110222221022101101210
411100132123121221223032
511012314202013202100
6121102142532315250
74604353012246125
oct520363331515316
9100773887271353
1023122416147150
117405186129a61
122715342472b26
13cb958574b468
1459d1b9320abc
152a1701745c50
hex15079b669ace

23122416147150 has 96 divisors (see below), whose sum is σ = 57829567420800. Its totient is φ = 6113939529600.

The previous prime is 23122416147107. The next prime is 23122416147161. The reversal of 23122416147150 is 5174161422132.

It is a happy number.

It is a super-2 number, since 2×231224161471502 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23122416147099 and 23122416147108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7155921 + ... + 9871779.

It is an arithmetic number, because the mean of its divisors is an integer number (602391327300).

Almost surely, 223122416147150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122416147150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28914783710400).

23122416147150 is an abundant number, since it is smaller than the sum of its proper divisors (34707151273650).

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

23122416147150 is a wasteful number, since it uses less digits than its factorization.

23122416147150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716354 (or 2716349 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 23122416147150 its reverse (5174161422132), we get a palindrome (28296577569282).

The spelling of 23122416147150 in words is "twenty-three trillion, one hundred twenty-two billion, four hundred sixteen million, one hundred forty-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 211 269 422 538 633 807 1055 1266 1345 1614 2110 2690 3165 4035 5275 6330 6725 8070 10550 13450 15825 20175 31650 40350 56759 113518 170277 283795 340554 567590 851385 1418975 1702770 2715859 2837950 4256925 5431718 8147577 8513850 13579295 16295154 27158590 40737885 67896475 81475770 135792950 203689425 407378850 573046249 730566071 1146092498 1461132142 1719138747 2191698213 2865231245 3438277494 3652830355 4383396426 5730462490 7305660710 8595693735 10958491065 14326156225 17191387470 18264151775 21916982130 28652312450 36528303550 42978468675 54792455325 85956937350 109584910650 154149440981 308298881962 462448322943 770747204905 924896645886 1541494409810 2312241614715 3853736024525 4624483229430 7707472049050 11561208073575 23122416147150