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221022102210220 = 225107608916961957
BaseRepresentation
bin110010010000010010110111…
…111000111100011010101100
31001222120111200022201121020201
4302100102313320330122230
5212432211231131211340
62102024052501123244
764361214506643223
oct6220226770743254
91058514608647221
10221022102210220
1164473a46732a13
12209576929b9524
1396433aa8c8c3c
143c81753873cba
151a8445ac5979a
hexc904b7e3c6ac

221022102210220 has 48 divisors (see below), whose sum is σ = 468561198661920. Its totient is φ = 87568201132544.

The previous prime is 221022102210211. The next prime is 221022102210241. The reversal of 221022102210220 is 22012201220122.

221022102210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4549482 + ... + 21511438.

It is an arithmetic number, because the mean of its divisors is an integer number (9761691638790).

Almost surely, 2221022102210220 is an apocalyptic number.

221022102210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022102210220 is an abundant number, since it is smaller than the sum of its proper divisors (247539096451700).

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

221022102210220 is a wasteful number, since it uses less digits than its factorization.

221022102210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16968162 (or 16968160 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 221022102210220 its reverse (22012201220122), we get a palindrome (243034303430342).

The spelling of 221022102210220 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 107 214 428 535 1070 2140 6089 12178 24356 30445 60890 121780 651523 1303046 2606092 3257615 6515230 13030460 16961957 33923914 67847828 84809785 169619570 339239140 1814929399 3629858798 7259717596 9074646995 18149293990 36298587980 103281356173 206562712346 413125424692 516406780865 1032813561730 2065627123460 11051105110511 22102210221022 44204420442044 55255525552555 110511051105110 221022102210220