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9340223144 = 237476435519
BaseRepresentation
bin10001011001011100…
…00111111010101000
3220002221021111102112
420230232013322220
5123112044120034
64142453221452
7450313405160
oct105456077250
926087244375
109340223144
113a6334898a
121988031888
13b5b0c2375
146486995a0
15399ed37ce
hex22cb87ea8

9340223144 has 64 divisors (see below), whose sum is σ = 20476108800. Its totient is φ = 3910981824.

The previous prime is 9340223143. The next prime is 9340223149. The reversal of 9340223144 is 4413220439.

9340223144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9340223144.

It is not an unprimeable number, because it can be changed into a prime (9340223141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689617 + ... + 1695135.

It is an arithmetic number, because the mean of its divisors is an integer number (319939200).

Almost surely, 29340223144 is an apocalyptic number.

9340223144 is a gapful number since it is divisible by the number (94) 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 9340223144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10238054400).

9340223144 is an abundant number, since it is smaller than the sum of its proper divisors (11135885656).

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

9340223144 is a wasteful number, since it uses less digits than its factorization.

9340223144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6218 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 9340223144 is about 96644.8298875837. The cubic root of 9340223144 is about 2105.9711494301.

The spelling of 9340223144 in words is "nine billion, three hundred forty million, two hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 643 658 1286 1316 2572 2632 4501 5144 5519 9002 11038 18004 22076 30221 36008 38633 44152 60442 77266 120884 154532 211547 241768 259393 309064 423094 518786 846188 1037572 1692376 1815751 2075144 3548717 3631502 7097434 7263004 14194868 14526008 24841019 28389736 49682038 99364076 166789699 198728152 333579398 667158796 1167527893 1334317592 2335055786 4670111572 9340223144