Search a number
-
+
23022430640 = 24511109240017
BaseRepresentation
bin10101011100001111…
…100110100110110000
32012102110202122122022
4111130033212212300
5334122220240030
614324254331012
71443342301016
oct253417464660
965373678568
1023022430640
11984461a990
1245661b9a68
13222b913a31
14118588a8b6
158eb290de5
hex55c3e69b0

23022430640 has 80 divisors (see below), whose sum is σ = 58929219360. Its totient is φ = 8294952960.

The previous prime is 23022430633. The next prime is 23022430661. The reversal of 23022430640 is 4603422032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×230224306402 (a number of 22 digits) contains 22 as substring.

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, 24089 + ... + 215928.

It is an arithmetic number, because the mean of its divisors is an integer number (736615242).

Almost surely, 223022430640 is an apocalyptic number.

23022430640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23022430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29464609680).

23022430640 is an abundant number, since it is smaller than the sum of its proper divisors (35906788720).

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

23022430640 is a wasteful number, since it uses less digits than its factorization.

23022430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240150 (or 240144 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 23022430640 its reverse (4603422032), we get a palindrome (27625852672).

The spelling of 23022430640 in words is "twenty-three billion, twenty-two million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 436 440 545 872 880 1090 1199 1744 2180 2398 4360 4796 5995 8720 9592 11990 19184 23980 47960 95920 240017 480034 960068 1200085 1920136 2400170 2640187 3840272 4800340 5280374 9600680 10560748 13200935 19201360 21121496 26161853 26401870 42242992 52323706 52803740 104647412 105607480 130809265 209294824 211214960 261618530 287780383 418589648 523237060 575560766 1046474120 1151121532 1438901915 2092948240 2302243064 2877803830 4604486128 5755607660 11511215320 23022430640