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214226043684268 = 2271110124877276823
BaseRepresentation
bin110000101101011001100011…
…001111000100010110101100
31001002111210212022121221022011
4300231121203033010112230
5211034334414140344033
62035342030313131004
763060215032416010
oct6055314317042654
91032453768557264
10214226043684268
1162293833886640
122003a5386b9a64
13926c57705c155
143ac884ad9a540
1519b779ea43ccd
hexc2d6633c45ac

214226043684268 has 96 divisors (see below), whose sum is σ = 472050702240768. Its totient is φ = 82634688864000.

The previous prime is 214226043684229. The next prime is 214226043684281. The reversal of 214226043684268 is 862486340622412.

It is a happy number.

It is a super-2 number, since 2×2142260436842682 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773735305 + ... + 774012127.

It is an arithmetic number, because the mean of its divisors is an integer number (4917194815008).

Almost surely, 2214226043684268 is an apocalyptic number.

214226043684268 is a gapful number since it is divisible by the number (28) 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 214226043684268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236025351120384).

214226043684268 is an abundant number, since it is smaller than the sum of its proper divisors (257824658556500).

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

214226043684268 is a wasteful number, since it uses less digits than its factorization.

214226043684268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301823 (or 301821 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 58.

The spelling of 214226043684268 in words is "two hundred fourteen trillion, two hundred twenty-six billion, forty-three million, six hundred eighty-four thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1111 1414 2222 2828 4444 7777 15554 24877 31108 49754 99508 174139 273647 276823 348278 547294 553646 696556 1094588 1107292 1915529 1937761 2512577 3045053 3831058 3875522 5025154 6090106 7662116 7751044 10050308 12180212 17588039 21315371 27638347 27959123 35176078 42630742 55276694 55918246 70352156 85261484 110553388 111836492 193468429 195713861 307550353 386936858 391427722 615100706 773873716 782855444 1230201412 2152852471 4305704942 6886525771 8611409884 13773051542 27546103084 48205680397 75751783481 96411360794 151503566962 192822721588 303007133924 530262484367 695539102871 1060524968734 1391078205742 2121049937468 2782156411484 4868773720097 7650930131581 9737547440194 15301860263162 19475094880388 30603720526324 53556510921067 107113021842134 214226043684268