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224430034422 = 23113791904191
BaseRepresentation
bin1101000100000100010…
…0101000110111110110
3210110021220201000112010
43101001010220313312
512134113042100142
6251033550305050
722133404550106
oct3210104506766
9713256630463
10224430034422
11871a89a36a0
12375b51b8186
1318218744649
14ac1089d206
155c880ace9c
hex3441128df6

224430034422 has 32 divisors (see below), whose sum is σ = 502899738624. Its totient is φ = 66171016800.

The previous prime is 224430034421. The next prime is 224430034457.

224430034422 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 224430034422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224430034421) 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 15 ways as a sum of consecutive naturals, for example, 45949654 + ... + 45954537.

It is an arithmetic number, because the mean of its divisors is an integer number (15715616832).

Almost surely, 2224430034422 is an apocalyptic number.

224430034422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

224430034422 is an abundant number, since it is smaller than the sum of its proper divisors (278469704202).

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

224430034422 is a wasteful number, since it uses less digits than its factorization.

224430034422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91904244.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2244300 and 34422, that added together give a palindrome (2278722).

The spelling of 224430034422 in words is "two hundred twenty-four billion, four hundred thirty million, thirty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2442 91904191 183808382 275712573 551425146 1010946101 2021892202 3032838303 3400455067 6065676606 6800910134 10201365201 20402730402 37405005737 74810011474 112215017211 224430034422