Search a number
-
+
2242604420 = 2257232932377
BaseRepresentation
bin1000010110101011…
…0110110110000100
312210021212002220222
42011222312312010
514043101320140
61010310443512
7106400552210
oct20552666604
95707762828
102242604420
11a50989991
12527063598
132997ca784
14173bab940
15d1d355b5
hex85ab6d84

2242604420 has 96 divisors (see below), whose sum is σ = 5637800448. Its totient is φ = 732644352.

The previous prime is 2242604407. The next prime is 2242604437. The reversal of 2242604420 is 244062422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242604420.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942272 + ... + 944648.

It is an arithmetic number, because the mean of its divisors is an integer number (58727088).

Almost surely, 22242604420 is an apocalyptic number.

2242604420 is a gapful number since it is divisible by the number (20) 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 2242604420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818900224).

2242604420 is an abundant number, since it is smaller than the sum of its proper divisors (3395196028).

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

2242604420 is a wasteful number, since it uses less digits than its factorization.

2242604420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2242604420 is about 47356.1444798877. The cubic root of 2242604420 is about 1308.9334247252.

Adding to 2242604420 its reverse (244062422), we get a palindrome (2486666842).

The spelling of 2242604420 in words is "two billion, two hundred forty-two million, six hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 293 322 460 586 644 805 1172 1465 1610 2051 2377 2930 3220 4102 4754 5860 6739 8204 9508 10255 11885 13478 16639 20510 23770 26956 33278 33695 41020 47173 47540 54671 66556 67390 83195 94346 109342 134780 166390 188692 218684 235865 273355 332780 382697 471730 546710 696461 765394 943460 1093420 1392922 1530788 1913485 2785844 3482305 3826970 4875227 6964610 7653940 9750454 13929220 16018603 19500908 24376135 32037206 48752270 64074412 80093015 97504540 112130221 160186030 224260442 320372060 448520884 560651105 1121302210 2242604420