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2202001221112 = 2371144345717657
BaseRepresentation
bin100000000010110001100…
…000000010010111111000
321210111202020210002201221
4200002301200002113320
5242034144303033422
64403330240121424
7315042433360660
oct40026140022770
97714666702657
102202001221112
11779955313030
122b6919906274
1312c856367644
14788126671a0
153c42bea63c7
hex200b18025f8

2202001221112 has 128 divisors (see below), whose sum is σ = 5170737047040. Its totient is φ = 854064506880.

The previous prime is 2202001221073. The next prime is 2202001221113. The reversal of 2202001221112 is 2111221002022.

It is a happy number.

It is a super-2 number, since 2×22020012211122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202001221113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124700988 + ... + 124718644.

It is an arithmetic number, because the mean of its divisors is an integer number (40396383180).

Almost surely, 22202001221112 is an apocalyptic number.

2202001221112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202001221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585368523520).

2202001221112 is an abundant number, since it is smaller than the sum of its proper divisors (2968735825928).

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

2202001221112 is a wasteful number, since it uses less digits than its factorization.

2202001221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18581 (or 18577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2202001221112 its reverse (2111221002022), we get a palindrome (4313222223134).

The spelling of 2202001221112 in words is "two trillion, two hundred two billion, one million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 443 457 616 886 914 1772 1828 3101 3199 3544 3656 4873 5027 6202 6398 9746 10054 12404 12796 17657 19492 20108 24808 25592 34111 35189 35314 38984 40216 68222 70378 70628 123599 136444 140756 141256 194227 202451 247198 272888 281512 388454 404902 494396 776908 809804 988792 1359589 1417157 1553816 1619608 2226961 2719178 2834314 4453922 5438356 5668628 7822051 8069249 8907844 10876712 11337256 15588727 15644102 16138498 17815688 31177454 31288204 32276996 54754357 56484743 62354908 62576408 64553992 86042561 88761739 109508714 112969486 124709816 172085122 177523478 219017428 225938972 344170244 355046956 438034856 451877944 602297927 621332173 688340488 710093912 1204595854 1242664346 2409191708 2485328692 3574677307 4818383416 4970657384 7149354614 14298709228 25022741149 28597418456 39321450377 50045482298 78642900754 100090964596 157285801508 200181929192 275250152639 314571603016 550500305278 1101000610556 2202001221112