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222341010342 = 231110147936959
BaseRepresentation
bin1100111100010010001…
…1101001001110100110
3210020220022211121012220
43033010203221032212
512120323244312332
6250050403253210
722030550255643
oct3170443511646
9706808747186
10222341010342
1186326781a10
123711167a206
1317c749ca619
14aa9326cdca
155bb49b2d2c
hex33c48e93a6

222341010342 has 64 divisors (see below), whose sum is σ = 490083333120. Its totient is φ = 66685472000.

The previous prime is 222341010329. The next prime is 222341010349. The reversal of 222341010342 is 243010143222.

It is a happy number.

222341010342 is digitally balanced in base 2, because in such base 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 (222341010349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31946659 + ... + 31953617.

It is an arithmetic number, because the mean of its divisors is an integer number (7657552080).

Almost surely, 2222341010342 is an apocalyptic number.

222341010342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222341010342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245041666560).

222341010342 is an abundant number, since it is smaller than the sum of its proper divisors (267742322778).

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

222341010342 is a wasteful number, since it uses less digits than its factorization.

222341010342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 222341010342 its reverse (243010143222), we get a palindrome (465351153564).

The spelling of 222341010342 in words is "two hundred twenty-two billion, three hundred forty-one million, ten thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 4793 6666 6959 9586 13918 14379 20877 28758 41754 52723 76549 105446 153098 158169 229647 316338 459294 484093 702859 968186 1405718 1452279 2108577 2904558 4217154 5325023 7731449 10650046 15462898 15975069 23194347 31950138 33354487 46388694 66708974 100063461 200126922 366899357 733798714 1100698071 2201396142 3368803187 6737606374 10106409561 20212819122 37056835057 74113670114 111170505171 222341010342