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221322022220 = 225135639071667
BaseRepresentation
bin1100111000011111010…
…0100000110101001100
3210011021022102122022002
43032013310200311030
512111231414202340
6245401323011432
721663365102045
oct3160764406514
9704238378262
10221322022220
118595356a072
1236a88369b78
1317b41872780
14a9d7bbb8cc
155b552d0715
hex3387d20d4c

221322022220 has 96 divisors (see below), whose sum is σ = 502271255808. Its totient is φ = 81434932992.

The previous prime is 221322022219. The next prime is 221322022231. The reversal of 221322022220 is 22220223122.

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 = 221322022192 and 221322022201.

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, 132765827 + ... + 132767493.

It is an arithmetic number, because the mean of its divisors is an integer number (5231992248).

Almost surely, 2221322022220 is an apocalyptic number.

221322022220 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 221322022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251135627904).

221322022220 is an abundant number, since it is smaller than the sum of its proper divisors (280949233588).

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

221322022220 is a wasteful number, since it uses less digits than its factorization.

221322022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 221322022220 its reverse (22220223122), we get a palindrome (243542245342).

The spelling of 221322022220 in words is "two hundred twenty-one billion, three hundred twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 563 907 1126 1667 1814 2252 2815 3334 3628 4535 5630 6668 7319 8335 9070 11260 11791 14638 16670 18140 21671 23582 29276 33340 36595 43342 47164 58955 73190 86684 108355 117910 146380 216710 235820 433420 510641 938521 1021282 1511969 1877042 2042564 2553205 3023938 3754084 4692605 5106410 6047876 6638333 7559845 9385210 10212820 12200773 13276666 15119690 18770420 19655597 24401546 26553332 30239380 33191665 39311194 48803092 61003865 66383330 78622388 98277985 122007730 132766660 196555970 244015460 393111940 851238547 1702477094 3404954188 4256192735 8512385470 11066101111 17024770940 22132202222 44264404444 55330505555 110661011110 221322022220