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2298395424 = 253134314273
BaseRepresentation
bin1000100011111110…
…1011101100100000
312221011211120210110
42020333223230200
514201342123144
61020022331320
7110646016203
oct21077535440
95834746713
102298395424
11a7a425556
12541889b40
132a82329c0
1417b37193a
15d6ba60b9
hex88febb20

2298395424 has 96 divisors (see below), whose sum is σ = 6513986304. Its totient is φ = 705392640.

The previous prime is 2298395423. The next prime is 2298395447. The reversal of 2298395424 is 4245938922.

2298395424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2298395423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535752 + ... + 540024.

It is an arithmetic number, because the mean of its divisors is an integer number (67854024).

Almost surely, 22298395424 is an apocalyptic number.

2298395424 is a gapful number since it is divisible by the number (24) 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 2298395424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256993152).

2298395424 is an abundant number, since it is smaller than the sum of its proper divisors (4215590880).

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

2298395424 is a wasteful number, since it uses less digits than its factorization.

2298395424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 4722 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 2298395424 is about 47941.5834531985. The cubic root of 2298395424 is about 1319.6990865958.

The spelling of 2298395424 in words is "two billion, two hundred ninety-eight million, three hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 431 624 862 1248 1293 1724 2586 3448 4273 5172 5603 6896 8546 10344 11206 12819 13792 16809 17092 20688 22412 25638 33618 34184 41376 44824 51276 55549 67236 68368 89648 102552 111098 134472 136736 166647 179296 205104 222196 268944 333294 410208 444392 537888 666588 888784 1333176 1777568 1841663 2666352 3683326 5332704 5524989 7366652 11049978 14733304 22099956 23941619 29466608 44199912 47883238 58933216 71824857 88399824 95766476 143649714 176799648 191532952 287299428 383065904 574598856 766131808 1149197712 2298395424