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2242314224220 = 223572762691913
BaseRepresentation
bin100000101000010100010…
…101111100001001011100
321221100210201210211210010
4200220110111330021130
5243214224420133340
64434034355443220
7321000431266200
oct40502425741134
97840721724703
102242314224220
11794a61a16a24
123026aa5b6510
131335ac21b435
147a758630b00
153d4db1b9b80
hex20a1457c25c

2242314224220 has 72 divisors (see below), whose sum is σ = 7303537768464. Its totient is φ = 512528964864.

The previous prime is 2242314224219. The next prime is 2242314224231. The reversal of 2242314224220 is 224224132422.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 381343017 + ... + 381348896.

It is an arithmetic number, because the mean of its divisors is an integer number (101438024562).

Almost surely, 22242314224220 is an apocalyptic number.

2242314224220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242314224220 is an abundant number, since it is smaller than the sum of its proper divisors (5061223544244).

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

2242314224220 is a wasteful number, since it uses less digits than its factorization.

2242314224220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762691939 (or 762691930 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 2242314224220 its reverse (224224132422), we get a palindrome (2466538356642).

The spelling of 2242314224220 in words is "two trillion, two hundred forty-two billion, three hundred fourteen million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 762691913 1525383826 2288075739 3050767652 3813459565 4576151478 5338843391 7626919130 9152302956 10677686782 11440378695 15253838260 16016530173 21355373564 22880757390 26694216955 32033060346 37371903737 45761514780 53388433910 64066120692 74743807474 80082650865 106776867820 112115711211 149487614948 160165301730 186859518685 224231422422 320330603460 373719037370 448462844844 560578556055 747438074740 1121157112110 2242314224220