Search a number
-
+
22060025364960 = 25345111722740099
BaseRepresentation
bin1010000010000001111111…
…11110011100000111100000
32220002220210002121211120000
411001000333332130013200
510342412412443134320
6114530122531020000
74434532664506662
oct501007776340740
986086702554500
1022060025364960
11703567123aa60
122583469a3a600
13c4033661662b
145639d4ac4532
15283c72926c90
hex14103ff9c1e0

22060025364960 has 960 divisors, whose sum is σ = 90325451462400. Its totient is φ = 5011005358080.

The previous prime is 22060025364931. The next prime is 22060025364989. The reversal of 22060025364960 is 6946352006022.

22060025364960 is a `hidden beast` number, since 2 + 2 + 0 + 600 + 2 + 5 + 36 + 4 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22060025364931) and next prime (22060025364989).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 550118991 + ... + 550159089.

It is an arithmetic number, because the mean of its divisors is an integer number (94089011940).

Almost surely, 222060025364960 is an apocalyptic number.

22060025364960 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 22060025364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45162725731200).

22060025364960 is an abundant number, since it is smaller than the sum of its proper divisors (68265426097440).

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

22060025364960 is a wasteful number, since it uses less digits than its factorization.

22060025364960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40381 (or 40364 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 22060025364960 in words is "twenty-two trillion, sixty billion, twenty-five million, three hundred sixty-four thousand, nine hundred sixty".