Search a number
-
+
222414350344240 = 24522923627513841
BaseRepresentation
bin110010100100100011100000…
…010110000110000000110000
31002011111121022111012210201011
4302210203200112012000300
5213123014042142003430
62105011424134320304
764563622640554015
oct6244434026060060
91064447274183634
10222414350344240
116496043a49159a
1220b41483ab9094
1397147774cac62
143ccccaa72770c
151aaa79358522a
hexca48e0586030

222414350344240 has 80 divisors (see below), whose sum is σ = 519394494437280. Its totient is φ = 88573322096640.

The previous prime is 222414350344231. The next prime is 222414350344243. The reversal of 222414350344240 is 42443053414222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 222414350344193 and 222414350344202.

It is not an unprimeable number, because it can be changed into a prime (222414350344243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432589720 + ... + 433103560.

It is an arithmetic number, because the mean of its divisors is an integer number (6492431180466).

Almost surely, 2222414350344240 is an apocalyptic number.

222414350344240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222414350344240 is an abundant number, since it is smaller than the sum of its proper divisors (296980144093040).

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

222414350344240 is a wasteful number, since it uses less digits than its factorization.

222414350344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537710 (or 537704 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

The spelling of 222414350344240 in words is "two hundred twenty-two trillion, four hundred fourteen billion, three hundred fifty million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 2290 3664 4580 9160 18320 23627 47254 94508 118135 189016 236270 378032 472540 513841 945080 1027682 1890160 2055364 2569205 4110728 5138410 5410583 8221456 10276820 10821166 20553640 21642332 27052915 41107280 43284664 54105830 86569328 108211660 117669589 216423320 235339178 432846640 470678356 588347945 941356712 1176695890 1882713424 2353391780 4706783560 9413567120 12140521307 24281042614 48562085228 60702606535 97124170456 121405213070 194248340912 242810426140 485620852280 971241704560 2780179379303 5560358758606 11120717517212 13900896896515 22241435034424 27801793793030 44482870068848 55603587586060 111207175172120 222414350344240