Search a number
-
+
22323916954560 = 26351337471815683
BaseRepresentation
bin1010001001101101100010…
…01000111101101111000000
32221001010221011012120010210
411010312301020331233000
510411223340220021220
6115251244343354120
74462564321143654
oct504666110755700
987033834176123
1022323916954560
11712757a157071
122606636752940
13c5c1a06b7710
145726aa42ca64
1528aa6a0ac6e0
hex144db123dbc0

22323916954560 has 896 divisors, whose sum is σ = 80518057611264. Its totient is φ = 5203017400320.

The previous prime is 22323916954543. The next prime is 22323916954579. The reversal of 22323916954560 is 6545961932322.

It is a happy number.

It is a super-3 number, since 3×223239169545603 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22323916954560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3928189479 + ... + 3928195161.

It is an arithmetic number, because the mean of its divisors is an integer number (89863903584).

Almost surely, 222323916954560 is an apocalyptic number.

22323916954560 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 22323916954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40259028805632).

22323916954560 is an abundant number, since it is smaller than the sum of its proper divisors (58194140656704).

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

22323916954560 is a wasteful number, since it uses less digits than its factorization.

22323916954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5981 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 57.

The spelling of 22323916954560 in words is "twenty-two trillion, three hundred twenty-three billion, nine hundred sixteen million, nine hundred fifty-four thousand, five hundred sixty".