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21212202220 = 22511613834127
BaseRepresentation
bin10011110000010110…
…001000010011101100
32000202022111112002021
4103300112020103230
5321420310432340
613424511035524
71350441513106
oct236026102354
960668445067
1021212202220
118aa580a540
12413bb0bba4
132000882161
1410532b0576
158423b6e4a
hex4f05884ec

21212202220 has 96 divisors (see below), whose sum is σ = 49532829696. Its totient is φ = 7565433600.

The previous prime is 21212202173. The next prime is 21212202227. The reversal of 21212202220 is 2220221212.

It is a junction number, because it is equal to n+sod(n) for n = 21212202194 and 21212202203.

It is not an unprimeable number, because it can be changed into a prime (21212202227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5137797 + ... + 5141923.

It is an arithmetic number, because the mean of its divisors is an integer number (515966976).

Almost surely, 221212202220 is an apocalyptic number.

21212202220 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 21212202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766414848).

21212202220 is an abundant number, since it is smaller than the sum of its proper divisors (28320627476).

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

21212202220 is a wasteful number, since it uses less digits than its factorization.

21212202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21212202220 its reverse (2220221212), we get a palindrome (23432423432).

The spelling of 21212202220 in words is "twenty-one billion, two hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 383 610 671 766 1220 1342 1532 1915 2684 3355 3830 4127 4213 6710 7660 8254 8426 13420 16508 16852 20635 21065 23363 41270 42130 45397 46726 82540 84260 90794 93452 116815 181588 226985 233630 251747 256993 453970 467260 503494 513986 907940 1006988 1027972 1258735 1284965 1580641 2517470 2569930 2769217 3161282 5034940 5139860 5538434 6322564 7903205 11076868 13846085 15806410 17387051 27692170 31612820 34774102 55384340 69548204 86935255 96419101 173870510 192838202 347741020 385676404 482095505 964191010 1060610111 1928382020 2121220222 4242440444 5303050555 10606101110 21212202220