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222134404431222 = 23253814438351673
BaseRepresentation
bin110010100000011110110010…
…010001001011110101110110
31002010111211201120120221121100
4302200132302101023311312
5213103422230013244342
62104235045302030530
764534452422554263
oct6240366221136566
91063454646527540
10222134404431222
11648627432a66a8
1220ab7176718446
1396c425233370a
143cbd510b4a26a
151aa335b777e4c
hexca07b244bd76

222134404431222 has 48 divisors (see below), whose sum is σ = 481400814480768. Its totient is φ = 74027940405120.

The previous prime is 222134404431221. The next prime is 222134404431229.

222134404431222 is a `hidden beast` number, since 2 + 2 + 21 + 3 + 4 + 404 + 4 + 3 + 1 + 222 = 666.

222134404431222 is nontrivially palindromic in base 10.

222134404431222 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222134404431221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4298822778 + ... + 4298874450.

It is an arithmetic number, because the mean of its divisors is an integer number (10029183635016).

Almost surely, 2222134404431222 is an apocalyptic number.

222134404431222 is an abundant number, since it is smaller than the sum of its proper divisors (259266410049546).

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

222134404431222 is a wasteful number, since it uses less digits than its factorization.

222134404431222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101445 (or 101442 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 22213440 and 4431222, that added together give a palindrome (26644662).

The spelling of 222134404431222 in words is "two hundred twenty-two trillion, one hundred thirty-four billion, four hundred four million, four hundred thirty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 5381 10762 16143 32286 44383 48429 51673 88766 96858 103346 133149 155019 266298 310038 399447 465057 798894 930114 238824923 278052413 477649846 556104826 716474769 834157239 1432949538 1668314478 2149424307 2293402759 2502471717 4298848614 4586805518 5004943434 6880208277 13760416554 20640624831 41281249662 12340800246179 24681600492358 37022400738537 74044801477074 111067202215611 222134404431222