[go: up one dir, main page]

Search a number
-
+
2283746816 = 29131720183
BaseRepresentation
bin1000100000011111…
…0011011000000000
312220011021100200102
42020013303120000
514134114344231
61014340341532
7110410345661
oct21007633000
95804240612
102283746816
11a7212a86a
125389a48a8
132a51a42a0
1417943b368
15d5760acb
hex881f3600

2283746816 has 80 divisors (see below), whose sum is σ = 5203354464. Its totient is φ = 991985664.

The previous prime is 2283746809. The next prime is 2283746821. The reversal of 2283746816 is 6186473822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103061 + ... + 123243.

Almost surely, 22283746816 is an apocalyptic number.

2283746816 is a gapful number since it is divisible by the number (26) 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 2283746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601677232).

2283746816 is an abundant number, since it is smaller than the sum of its proper divisors (2919607648).

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

2283746816 is a wasteful number, since it uses less digits than its factorization.

2283746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20231 (or 20215 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 2283746816 is about 47788.5636528239. The cubic root of 2283746816 is about 1316.8894496140.

The spelling of 2283746816 in words is "two billion, two hundred eighty-three million, seven hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1088 1664 1768 2176 3328 3536 4352 6656 7072 8704 14144 20183 28288 40366 56576 80732 113152 161464 262379 322928 343111 524758 645856 686222 1049516 1291712 1372444 2099032 2583424 2744888 4198064 4460443 5166848 5489776 8396128 8920886 10333696 10979552 16792256 17841772 21959104 33584512 35683544 43918208 67169024 71367088 87836416 134338048 142734176 175672832 285468352 570936704 1141873408 2283746816