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221222202102 = 232112397255847
BaseRepresentation
bin1100111000000111011…
…1101110101011110110
3210011000100121020211200
43032001313232223312
512111030340431402
6245343355313330
721661043456226
oct3160167565366
9704010536750
10221222202102
1185902190800
1236a5aa4b846
1317b26c92b05
14a9c8836086
155b4b66421c
hex3381deeaf6

221222202102 has 72 divisors (see below), whose sum is σ = 528179263248. Its totient is φ = 66867910560.

The previous prime is 221222202049. The next prime is 221222202217. The reversal of 221222202102 is 201202222122.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 736743 + ... + 992589.

Almost surely, 2221222202102 is an apocalyptic number.

221222202102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221222202102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264089631624).

221222202102 is an abundant number, since it is smaller than the sum of its proper divisors (306957061146).

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

221222202102 is a wasteful number, since it uses less digits than its factorization.

221222202102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256274 (or 256260 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221222202102 its reverse (201202222122), we get a palindrome (422424424224).

It can be divided in two parts, 221222 and 202102, that added together give a palindrome (423324).

The spelling of 221222202102 in words is "two hundred twenty-one billion, two hundred twenty-two million, two hundred two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 397 726 794 1089 1191 2178 2382 3573 4367 7146 8734 13101 26202 39303 48037 78606 96074 144111 255847 288222 432333 511694 767541 864666 1535082 2302623 2814317 4605246 5628634 8442951 16885902 25328853 30957487 50657706 61914974 92872461 101571259 185744922 203142518 278617383 304713777 557234766 609427554 914141331 1117283849 1828282662 2234567698 3351851547 6703703094 10055554641 12290122339 20111109282 24580244678 36870367017 73740734034 110611101051 221222202102