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2221021222112 = 257111831492293
BaseRepresentation
bin100000010100011111001…
…011100101010011100000
321212022211210021021002102
4200110133023211103200
5242342122413101422
64420153440505532
7316314655615640
oct40243713452340
97768753237072
102221021222112
11786a2563a320
122ba54761b2a8
131315979b8ac4
14796d872a520
153cb91b92192
hex2051f2e54e0

2221021222112 has 96 divisors (see below), whose sum is σ = 5454586013184. Its totient is φ = 864858585600.

The previous prime is 2221021222103. The next prime is 2221021222153. The reversal of 2221021222112 is 2112221201222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4265438 + ... + 4757730.

It is an arithmetic number, because the mean of its divisors is an integer number (56818604304).

Almost surely, 22221021222112 is an apocalyptic number.

2221021222112 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 2221021222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727293006592).

2221021222112 is an abundant number, since it is smaller than the sum of its proper divisors (3233564791072).

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

2221021222112 is a wasteful number, since it uses less digits than its factorization.

2221021222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494152 (or 494144 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 2221021222112 its reverse (2112221201222), we get a palindrome (4333242423334).

The spelling of 2221021222112 in words is "two trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1831 2464 3662 7324 12817 14648 20141 25634 29296 40282 51268 58592 80564 102536 140987 161128 205072 281974 322256 410144 492293 563948 644512 984586 1127896 1969172 2255792 3446051 3938344 4511584 5415223 6892102 7876688 10830446 13784204 15753376 21660892 27568408 37906561 43321784 55136816 75813122 86643568 110273632 151626244 173287136 303252488 606504976 901388483 1213009952 1802776966 3605553932 6309719381 7211107864 9915273313 12619438762 14422215728 19830546626 25238877524 28844431456 39661093252 50477755048 69406913191 79322186504 100955510096 138813826382 158644373008 201911020192 277627652764 317288746016 555255305528 1110510611056 2221021222112