Search a number
-
+
2242664040 = 233518688867
BaseRepresentation
bin1000010110101100…
…0101011001101000
312210021222010201010
42011223011121220
514043110222130
61010312023520
7106401221061
oct20553053150
95707863633
102242664040
11a50a1a761
12527091ba0
1329981b956
14173bc5568
15d1d480b0
hex85ac5668

2242664040 has 32 divisors (see below), whose sum is σ = 6727992480. Its totient is φ = 598043712.

The previous prime is 2242664027. The next prime is 2242664051. The reversal of 2242664040 is 404662422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2242663989 and 2242664007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9344314 + ... + 9344553.

It is an arithmetic number, because the mean of its divisors is an integer number (210249765).

Almost surely, 22242664040 is an apocalyptic number.

2242664040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242664040 is an abundant number, since it is smaller than the sum of its proper divisors (4485328440).

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

2242664040 is a wasteful number, since it uses less digits than its factorization.

2242664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18688881 (or 18688877 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2242664040 is about 47356.7739610713. The cubic root of 2242664040 is about 1308.9450240245.

The spelling of 2242664040 in words is "two billion, two hundred forty-two million, six hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18688867 37377734 56066601 74755468 93444335 112133202 149510936 186888670 224266404 280333005 373777340 448532808 560666010 747554680 1121332020 2242664040