Search a number
-
+
22843731980160 = 27325721310161643
BaseRepresentation
bin1010011000110101110001…
…00001111010111110000000
32222212211122221212212110100
411030122320201322332000
510443232430341331120
6120330133211402400
74545255655023300
oct514327041727600
988784587785410
1022843731980160
117307a77193583
12268b327753400
13c99201ab6cc0
1458d8dd147600
152993405be490
hex14c6b887af80

22843731980160 has 1152 divisors, whose sum is σ = 99799567227360. Its totient is φ = 4771978444800.

The previous prime is 22843731980149. The next prime is 22843731980161. The reversal of 22843731980160 is 6108913734822.

It is a happy number.

22843731980160 is a `hidden beast` number, since 2 + 2 + 8 + 437 + 3 + 198 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 22843731980097 and 22843731980106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22843731980161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370550299 + ... + 370611941.

Almost surely, 222843731980160 is an apocalyptic number.

22843731980160 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 22843731980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49899783613680).

22843731980160 is an abundant number, since it is smaller than the sum of its proper divisors (76955835247200).

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

22843731980160 is a wasteful number, since it uses less digits than its factorization.

22843731980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61796 (or 61774 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 22843731980160 in words is "twenty-two trillion, eight hundred forty-three billion, seven hundred thirty-one million, nine hundred eighty thousand, one hundred sixty".