Search a number
-
+
9446922240 = 211357197223
BaseRepresentation
bin10001100110001010…
…01001100000000000
3220101101001101001220
420303011021200000
5123321403002430
64201224155040
7453050341230
oct106305114000
926341041056
109446922240
1140085a5558
1219b7908a80
13b77240122
14658911cc0
153a455d110
hex233149800

9446922240 has 384 divisors, whose sum is σ = 34871316480. Its totient is φ = 2138701824.

The previous prime is 9446922239. The next prime is 9446922241. The reversal of 9446922240 is 422296449.

It is an interprime number because it is at equal distance from previous prime (9446922239) and next prime (9446922241).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9446922192 and 9446922201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9446922241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42362769 + ... + 42362991.

It is an arithmetic number, because the mean of its divisors is an integer number (90810720).

Almost surely, 29446922240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9446922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435658240).

9446922240 is an abundant number, since it is smaller than the sum of its proper divisors (25424394240).

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

9446922240 is a wasteful number, since it uses less digits than its factorization.

9446922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 9446922240 is about 97195.2788976913. The cubic root of 9446922240 is about 2113.9600720079.

The spelling of 9446922240 in words is "nine billion, four hundred forty-six million, nine hundred twenty-two thousand, two hundred forty".