Search a number
-
+
2264796716 = 2271323071559
BaseRepresentation
bin1000011011111110…
…0000111000101100
312211211121121000212
42012333200320230
514114241443331
61012422241552
7110060311610
oct20677407054
95754547025
102264796716
11a62467326
125325862b8
132a129aa00
14176b07340
15d3c6ad2b
hex86fe0e2c

2264796716 has 72 divisors (see below), whose sum is σ = 4923959040. Its totient is φ = 892472256.

The previous prime is 2264796707. The next prime is 2264796733. The reversal of 2264796716 is 6176974622.

2264796716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1451945 + ... + 1453503.

It is an arithmetic number, because the mean of its divisors is an integer number (68388320).

Almost surely, 22264796716 is an apocalyptic number.

2264796716 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 2264796716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461979520).

2264796716 is an abundant number, since it is smaller than the sum of its proper divisors (2659162324).

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

2264796716 is a wasteful number, since it uses less digits than its factorization.

2264796716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1888 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 2264796716 is about 47589.8803948907. The cubic root of 2264796716 is about 1313.2368948114.

The spelling of 2264796716 in words is "two billion, two hundred sixty-four million, seven hundred ninety-six thousand, seven hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 307 338 364 614 676 1183 1228 1559 2149 2366 3118 3991 4298 4732 6236 7982 8596 10913 15964 20267 21826 27937 40534 43652 51883 55874 81068 103766 111748 141869 207532 263471 283738 363181 478613 526942 567476 726362 957226 1053884 1452724 1844297 1914452 3350291 3688594 6221969 6700582 7377188 12443938 13401164 24887876 43553783 80885597 87107566 161771194 174215132 323542388 566199179 1132398358 2264796716