Search a number
-
+
2221112200212 = 22321731670117471
BaseRepresentation
bin100000010100100100100…
…110101000110000010100
321212100002010110102120200
4200110210212220300110
5242342314210401322
64420210450500500
7316320142124133
oct40244446506024
97770063412520
102221112200212
11786a71a29534
122ba571b94730
131315b07c0cb9
147970684d91a
153cb99b638ac
hex205249a8c14

2221112200212 has 144 divisors (see below), whose sum is σ = 6137774383104. Its totient is φ = 674202240000.

The previous prime is 2221112200163. The next prime is 2221112200247. The reversal of 2221112200212 is 2120022111222.

It is a happy number.

2221112200212 is a `hidden beast` number, since 2 + 221 + 11 + 220 + 0 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127122637 + ... + 127140107.

It is an arithmetic number, because the mean of its divisors is an integer number (42623433216).

Almost surely, 22221112200212 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 2221112200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068887191552).

2221112200212 is an abundant number, since it is smaller than the sum of its proper divisors (3916662182892).

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

2221112200212 is a wasteful number, since it uses less digits than its factorization.

2221112200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24230 (or 24225 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2221112200212 its reverse (2120022111222), we get a palindrome (4341134311434).

The spelling of 2221112200212 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 4743 6324 6701 9486 13402 17471 18972 20103 26804 34942 40206 52413 60309 69884 80412 104826 113917 120618 157239 207731 209652 227834 241236 297007 314478 341751 415462 455668 541601 594014 623193 628956 683502 830924 891021 1025253 1083202 1188028 1246386 1367004 1624803 1782042 1869579 2050506 2166404 2492772 2673063 3249606 3531427 3564084 3739158 4101012 4874409 5346126 6499212 7062854 7478316 9207217 9748818 10594281 10692252 14125708 18414434 19497636 21188562 27621651 31782843 36828868 42377124 55243302 63565686 82864953 110486604 117073171 127131372 165729906 234146342 331459812 351219513 468292684 702439026 1053658539 1404878052 1990243907 2107317078 3629268301 3980487814 4214634156 5970731721 7258536602 7960975628 10887804903 11941463442 14517073204 17912195163 21775609806 23882926884 32663414709 35824390326 43551219612 61697561117 65326829418 71648780652 123395122234 130653658836 185092683351 246790244468 370185366702 555278050053 740370733404 1110556100106 2221112200212