Search a number
-
+
2243777133 = 313478391459
BaseRepresentation
bin1000010110111101…
…0101001001101101
312210101001200120210
42011233111021231
514043401332013
61010351533033
7106413535203
oct20557251155
95711050523
102243777133
11a5160aa74
1252752a179
13299b1b4a0
14173dd5073
15d1eb7cc3
hex85bd526d

2243777133 has 32 divisors (see below), whose sum is σ = 3296563200. Its totient is φ = 1348871616.

The previous prime is 2243777119. The next prime is 2243777149. The reversal of 2243777133 is 3317773422.

It is not a de Polignac number, because 2243777133 - 26 = 2243777069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2243777091 and 2243777100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243777153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537158 + ... + 1538616.

It is an arithmetic number, because the mean of its divisors is an integer number (103017600).

Almost surely, 22243777133 is an apocalyptic number.

It is an amenable number.

2243777133 is a deficient number, since it is larger than the sum of its proper divisors (1052786067).

2243777133 is a wasteful number, since it uses less digits than its factorization.

2243777133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361.

The product of its digits is 148176, while the sum is 39.

The square root of 2243777133 is about 47368.5247078690. The cubic root of 2243777133 is about 1309.1615427924.

It can be divided in two parts, 2243 and 777133, that added together give a triangular number (779376 = T1248).

The spelling of 2243777133 in words is "two billion, two hundred forty-three million, seven hundred seventy-seven thousand, one hundred thirty-three".

Divisors: 1 3 13 39 47 141 611 839 1459 1833 2517 4377 10907 18967 32721 39433 56901 68573 118299 205719 512629 891449 1224101 1537887 2674347 3672303 15913313 47739939 57532747 172598241 747925711 2243777133