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221011112220 = 223517691313571
BaseRepresentation
bin1100110111010101001…
…0011111000100011100
3210010110122101202221220
43031311102133010130
512110112321042340
6245310415053340
721652601312643
oct3156522370434
9703418352856
10221011112220
1185804013858
1236a00211250
1317ac2324b62
14a9a87a835a
155b37d68ed0
hex337549f11c

221011112220 has 96 divisors (see below), whose sum is σ = 656183275776. Its totient is φ = 55389004800.

The previous prime is 221011112167. The next prime is 221011112233. The reversal of 221011112220 is 22211110122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221011112220.

It is a congruent number.

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, 548035 + ... + 861605.

It is an arithmetic number, because the mean of its divisors is an integer number (6835242456).

Almost surely, 2221011112220 is an apocalyptic number.

221011112220 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 221011112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328091637888).

221011112220 is an abundant number, since it is smaller than the sum of its proper divisors (435172163556).

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

221011112220 is a wasteful number, since it uses less digits than its factorization.

221011112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314291 (or 314289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221011112220 its reverse (22211110122), we get a palindrome (243222222342).

The spelling of 221011112220 in words is "two hundred twenty-one billion, eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 691 1020 1382 2073 2764 3455 4146 6910 8292 10365 11747 13820 20730 23494 35241 41460 46988 58735 70482 117470 140964 176205 234940 313571 352410 627142 704820 940713 1254284 1567855 1881426 3135710 3762852 4703565 5330707 6271420 9407130 10661414 15992121 18814260 21322828 26653535 31984242 53307070 63968484 79960605 106614140 159921210 216677561 319842420 433355122 650032683 866710244 1083387805 1300065366 2166775610 2600130732 3250163415 3683518537 4333551220 6500326830 7367037074 11050555611 13000653660 14734074148 18417592685 22101111222 36835185370 44202222444 55252778055 73670370740 110505556110 221011112220