Search a number
-
+
22304322540 = 22335277149113
BaseRepresentation
bin10100110001011100…
…001111001111101100
32010120102111222112000
4110301130033033230
5331134401310130
614125123012300
71416502420263
oct246134171754
963512458460
1022304322540
119506232715
1243a580a090
132145c043b6
14111835b5da
158a81e3260
hex53170f3ec

22304322540 has 96 divisors (see below), whose sum is σ = 69642202560. Its totient is φ = 5926307328.

The previous prime is 22304322533. The next prime is 22304322553. The reversal of 22304322540 is 4522340322.

It is a happy number.

22304322540 is a `hidden beast` number, since 223 + 0 + 432 + 2 + 5 + 4 + 0 = 666.

It is a super-3 number, since 3×223043225403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75024 + ... + 224136.

It is an arithmetic number, because the mean of its divisors is an integer number (725439610).

Almost surely, 222304322540 is an apocalyptic number.

22304322540 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 22304322540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34821101280).

22304322540 is an abundant number, since it is smaller than the sum of its proper divisors (47337880020).

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

22304322540 is a wasteful number, since it uses less digits than its factorization.

22304322540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149408 (or 149400 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 22304322540 its reverse (4522340322), we get a palindrome (26826662862).

The spelling of 22304322540 in words is "twenty-two billion, three hundred four million, three hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 277 540 554 831 1108 1385 1662 2493 2770 3324 4155 4986 5540 7479 8310 9972 12465 14958 16620 24930 29916 37395 49860 74790 149113 149580 298226 447339 596452 745565 894678 1342017 1491130 1789356 2236695 2684034 2982260 4026051 4473390 5368068 6710085 8052102 8946780 13420170 16104204 20130255 26840340 40260510 41304301 80521020 82608602 123912903 165217204 206521505 247825806 371738709 413043010 495651612 619564515 743477418 826086020 1115216127 1239129030 1486954836 1858693545 2230432254 2478258060 3717387090 4460864508 5576080635 7434774180 11152161270 22304322540