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221211111220 = 225115631785977
BaseRepresentation
bin1100111000000100110…
…1011010111100110100
3210010222120201210000021
43032001031122330310
512111020021024340
6245342321454524
721660550264261
oct3160115327464
9703876653007
10221211111220
11858a69a5a90
1236a571a1444
1317b248ab868
14a9c718a268
155b4a6c2e4a
hex338135af34

221211111220 has 48 divisors (see below), whose sum is σ = 507674962368. Its totient is φ = 80297480960.

The previous prime is 221211111181. The next prime is 221211111227. The reversal of 221211111220 is 22111112122.

221211111220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221211111194 and 221211111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211111227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769129 + ... + 1016848.

It is an arithmetic number, because the mean of its divisors is an integer number (10576561716).

Almost surely, 2221211111220 is an apocalyptic number.

221211111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211111220 is an abundant number, since it is smaller than the sum of its proper divisors (286463851148).

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

221211111220 is a wasteful number, since it uses less digits than its factorization.

221211111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786560 (or 1786558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221211111220 its reverse (22111112122), we get a palindrome (243322223342).

The spelling of 221211111220 in words is "two hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 563 1126 2252 2815 5630 6193 11260 12386 24772 30965 61930 123860 1785977 3571954 7143908 8929885 17859770 19645747 35719540 39291494 78582988 98228735 196457470 392914940 1005505051 2011010102 4022020204 5027525255 10055050510 11060555561 20110101020 22121111122 44242222244 55302777805 110605555610 221211111220