Search a number
-
+
221442200012220 = 223511649515165717
BaseRepresentation
bin110010010110011010000111…
…101010111000010110111100
31002001001200000122212002121120
4302112122013222320112330
5213011102111200342340
62102545050423030540
764433446102230165
oct6226320752702674
91061050018762546
10221442200012220
1164616122a14430
1220a04b9489b450
139673ba9c660c5
143c97c06cda76c
151a90346c8c4d0
hexc96687ab85bc

221442200012220 has 96 divisors (see below), whose sum is σ = 676415810520576. Its totient is φ = 53682120672000.

The previous prime is 221442200012213. The next prime is 221442200012273. The reversal of 221442200012220 is 22210002244122.

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, 40284802 + ... + 45450518.

It is an arithmetic number, because the mean of its divisors is an integer number (7045998026256).

Almost surely, 2221442200012220 is an apocalyptic number.

221442200012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221442200012220 is an abundant number, since it is smaller than the sum of its proper divisors (454973610508356).

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

221442200012220 is a wasteful number, since it uses less digits than its factorization.

221442200012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230691 (or 5230689 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221442200012220 its reverse (22210002244122), we get a palindrome (243652202256342).

The spelling of 221442200012220 in words is "two hundred twenty-one trillion, four hundred forty-two billion, two hundred million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 64951 129902 194853 259804 324755 389706 649510 714461 779412 974265 1299020 1428922 1948530 2143383 2857844 3572305 3897060 4286766 5165717 7144610 8573532 10331434 10716915 14289220 15497151 20662868 21433830 25828585 30994302 42867660 51657170 56822887 61988604 77485755 103314340 113645774 154971510 170468661 227291548 284114435 309943020 340937322 568228870 681874644 852343305 1136457740 1704686610 3409373220 335518484867 671036969734 1006555454601 1342073939468 1677592424335 2013110909202 3355184848670 3690703333537 4026221818404 5032777273005 6710369697340 7381406667074 10065554546010 11072110000611 14762813334148 18453516667685 20131109092020 22144220001222 36907033335370 44288440002444 55360550003055 73814066670740 110721100006110 221442200012220