Search a number
-
+
2229917284 = 227233732
BaseRepresentation
bin1000010011101001…
…1101011001100100
312202101222112110001
42010322131121210
514031324323114
61005134511044
7106154661400
oct20472353144
95671875401
102229917284
11a44803951
12522965484
13296ca7aaa
14172228100
15d0b7b374
hex84e9d664

2229917284 has 27 divisors (see below), whose sum is σ = 4540820697. Its totient is φ = 955395504.

The previous prime is 2229917257. The next prime is 2229917341. The reversal of 2229917284 is 4827199222.

The square root of 2229917284 is 47222.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2206180900 + 23736384 = 46970^2 + 4872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 659422 + ... + 662794.

Almost surely, 22229917284 is an apocalyptic number.

2229917284 is the 47222-nd square number.

It is an amenable number.

2229917284 is an abundant number, since it is smaller than the sum of its proper divisors (2310903413).

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

2229917284 is an frugal number, since it uses more digits than its factorization.

2229917284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 3382 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The cubic root of 2229917284 is about 1306.4604025325.

The spelling of 2229917284 in words is "two billion, two hundred twenty-nine million, nine hundred seventeen thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 3373 6746 13492 23611 47222 94444 165277 330554 661108 11377129 22754258 45508516 79639903 159279806 318559612 557479321 1114958642 2229917284