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2221112122220 = 2252989109339367
BaseRepresentation
bin100000010100100100100…
…110010101101101101100
321212100002010022110121002
4200110210212111231230
5242342314200402340
64420210445055432
7316320141350555
oct40244446255554
97770063273532
102221112122220
11786a71985982
122ba571b57578
131315b0794654
147970682d32c
153cb99b4a715
hex20524995b6c

2221112122220 has 96 divisors (see below), whose sum is σ = 4883978332800. Its totient is φ = 847372990464.

The previous prime is 2221112122213. The next prime is 2221112122241. The reversal of 2221112122220 is 222212111222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221112122192 and 2221112122201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56400977 + ... + 56440343.

It is an arithmetic number, because the mean of its divisors is an integer number (50874774300).

Almost surely, 22221112122220 is an apocalyptic number.

2221112122220 is a gapful number since it is divisible by the number (20) 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 2221112122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441989166400).

2221112122220 is an abundant number, since it is smaller than the sum of its proper divisors (2662866210580).

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

2221112122220 is a wasteful number, since it uses less digits than its factorization.

2221112122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40587 (or 40585 counting only the distinct ones).

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

Adding to 2221112122220 its reverse (222212111222), we get a palindrome (2443324233442).

The spelling of 2221112122220 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 890 1093 1780 2186 2581 4372 5162 5465 10324 10930 12905 21860 25810 31697 39367 51620 63394 78734 97277 126788 157468 158485 194554 196835 316970 389108 393670 486385 633940 787340 972770 1141643 1945540 2283286 2821033 3503663 4566572 5642066 5708215 7007326 11284132 11416430 14014652 14105165 17518315 22832860 28210330 35036630 43028131 56420660 70073260 86056262 101606227 172112524 203212454 215140655 406424908 430281310 508031135 860562620 1016062270 1247815799 2032124540 2495631598 3829503659 4991263196 6239078995 7659007318 12478157990 15318014636 19147518295 24956315980 38295036590 76590073180 111055606111 222111212222 444222424444 555278030555 1110556061110 2221112122220