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211221220220 = 225173671692749
BaseRepresentation
bin1100010010110111000…
…1000000101101111100
3202012012100222201211022
43010231301000231330
511430040113021340
6241011135443312
721155154514523
oct3045561005574
9665170881738
10211221220220
118163a96601a
1234b29686538
1316bc202075a
14a31a4d94ba
1557636603b5
hex312dc40b7c

211221220220 has 48 divisors (see below), whose sum is σ = 470936592000. Its totient is φ = 79301858304.

The previous prime is 211221220201. The next prime is 211221220247. The reversal of 211221220220 is 22022122112.

It is a happy number.

It is a super-2 number, since 2×2112212202202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 721595 + ... + 971154.

It is an arithmetic number, because the mean of its divisors is an integer number (9811179000).

Almost surely, 2211221220220 is an apocalyptic number.

211221220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221220220 is an abundant number, since it is smaller than the sum of its proper divisors (259715371780).

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

211221220220 is a wasteful number, since it uses less digits than its factorization.

211221220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693142 (or 1693140 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211221220220 its reverse (22022122112), we get a palindrome (233243342332).

The spelling of 211221220220 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 367 734 1468 1835 3670 6239 7340 12478 24956 31195 62390 124780 1692749 3385498 6770996 8463745 16927490 28776733 33854980 57553466 115106932 143883665 287767330 575534660 621238883 1242477766 2484955532 3106194415 6212388830 10561061011 12424777660 21122122022 42244244044 52805305055 105610610110 211221220220