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2293643872 = 251329316133
BaseRepresentation
bin1000100010110110…
…0011101001100000
312220211220011220001
42020231203221200
514144133100442
61015332425344
7110560436242
oct21055435140
95824804801
102293643872
11a7777a653
12540178254
132a725b030
1417a896092
15d65682b7
hex88b63a60

2293643872 has 96 divisors (see below), whose sum is σ = 5193780480. Its totient is φ = 988968960.

The previous prime is 2293643857. The next prime is 2293643873. The reversal of 2293643872 is 2783463922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293643873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370918 + ... + 377050.

It is an arithmetic number, because the mean of its divisors is an integer number (54101880).

Almost surely, 22293643872 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 2293643872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596890240).

2293643872 is an abundant number, since it is smaller than the sum of its proper divisors (2900136608).

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

2293643872 is a wasteful number, since it uses less digits than its factorization.

2293643872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6208 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 2293643872 is about 47892.0021715526. The cubic root of 2293643872 is about 1318.7890393959.

The spelling of 2293643872 in words is "two billion, two hundred ninety-three million, six hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 29 31 32 52 58 62 104 116 124 208 232 248 377 403 416 464 496 754 806 899 928 992 1508 1612 1798 3016 3224 3596 6032 6133 6448 7192 11687 12064 12266 12896 14384 23374 24532 28768 46748 49064 79729 93496 98128 159458 177857 186992 190123 196256 318916 355714 373984 380246 637832 711428 760492 1275664 1422856 1520984 2312141 2471599 2551328 2845712 3041968 4624282 4943198 5513567 5691424 6083936 9248564 9886396 11027134 18497128 19772792 22054268 36994256 39545584 44108536 71676371 73988512 79091168 88217072 143352742 176434144 286705484 573410968 1146821936 2293643872