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3442220222408 = 2311376211170213
BaseRepresentation
bin110010000101110100010…
…100000100011111001000
3110012001222020122011111222
4302011310110010133020
5422344131334104113
611153200101341212
7503456266061402
oct62056424043710
913161866564458
103442220222408
111107923639070
12477160707808
131bc7a51b2866
14bc866489b72
155e8179d7e08
hex321745047c8

3442220222408 has 64 divisors (see below), whose sum is σ = 7232406477120. Its totient is φ = 1522103788800.

The previous prime is 3442220222401. The next prime is 3442220222411. The reversal of 3442220222408 is 8042220222443.

It is not an unprimeable number, because it can be changed into a prime (3442220222401) 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, 20137910 + ... + 20308122.

It is an arithmetic number, because the mean of its divisors is an integer number (113006351205).

Almost surely, 23442220222408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442220222408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616203238560).

3442220222408 is an abundant number, since it is smaller than the sum of its proper divisors (3790186254712).

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

3442220222408 is a wasteful number, since it uses less digits than its factorization.

3442220222408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176478 (or 176474 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 3442220222408 its sum of digits (35), we get a palindrome (3442220222443).

The spelling of 3442220222408 in words is "three trillion, four hundred forty-two billion, two hundred twenty million, two hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 1628 3256 6211 12422 24844 49688 68321 136642 170213 229807 273284 340426 459614 546568 680852 919228 1361704 1838456 1872343 2527877 3744686 5055754 6297881 7489372 10111508 12595762 14978744 20223016 25191524 50383048 69276691 138553382 277106764 554213528 1057192943 2114385886 4228771772 8457543544 11629122373 23258244746 39116138891 46516489492 78232277782 93032978984 156464555564 312929111128 430277527801 860555055602 1721110111204 3442220222408