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2222443430112 = 253192312068667
BaseRepresentation
bin100000010101110011111…
…100111000000011100000
321212110111220101220200210
4200111303330320003200
5242403031004230422
64420550523414120
7316365135314643
oct40256374700340
97773456356623
102222443430112
11787595417234
122ba883984340
131317635419b9
14797d157da5a
153cc2697210c
hex20573f380e0

2222443430112 has 144 divisors (see below), whose sum is σ = 6355742464512. Its totient is φ = 679184421120.

The previous prime is 2222443430111. The next prime is 2222443430113. The reversal of 2222443430112 is 2110343442222.

It is an interprime number because it is at equal distance from previous prime (2222443430111) and next prime (2222443430113).

It is a self number, because there is not a number n which added to its sum of digits gives 2222443430112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222443430111) 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, 40003 + ... + 2108669.

It is an arithmetic number, because the mean of its divisors is an integer number (44137100448).

Almost surely, 22222443430112 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 2222443430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177871232256).

2222443430112 is an abundant number, since it is smaller than the sum of its proper divisors (4133299034400).

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

2222443430112 is a wasteful number, since it uses less digits than its factorization.

2222443430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068749 (or 2068722 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2222443430112 its reverse (2110343442222), we get a palindrome (4332786872334).

The spelling of 2222443430112 in words is "two trillion, two hundred twenty-two billion, four hundred forty-three million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 361 372 456 496 589 608 722 744 912 992 1083 1178 1444 1488 1767 1824 2166 2356 2888 2976 3534 4332 4712 5776 7068 8664 9424 11191 11552 14136 17328 18848 22382 28272 33573 34656 44764 56544 67146 89528 134292 179056 268584 358112 537168 1074336 2068667 4137334 6206001 8274668 12412002 16549336 24824004 33098672 39304673 49648008 64128677 66197344 78609346 99296016 117914019 128257354 157218692 192386031 198592032 235828038 256514708 314437384 384772062 471656076 513029416 628874768 746788787 769544124 943312152 1026058832 1218444863 1257749536 1493577574 1539088248 1886624304 2052117664 2240366361 2436889726 2987155148 3078176496 3655334589 3773248608 4480732722 4873779452 5974310296 6156352992 7310669178 8961465444 9747558904 11948620592 14621338356 17922930888 19495117808 23150452397 23897241184 29242676712 35845861776 38990235616 46300904794 58485353424 69451357191 71691723552 92601809588 116970706848 138902714382 185203619176 277805428764 370407238352 555610857528 740814476704 1111221715056 2222443430112