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220221021101220 = 22335549737418491
BaseRepresentation
bin110010000100101000110011…
…101111000001110010100100
31001212201220221121021211112000
4302010220303233001302210
5212331100122400214340
62100212050200525300
764246305124605006
oct6204506357016244
91055656847254460
10220221021101220
1164195235297007
1220848386480830
1395b59a39842c9
143c54a7baca376
151a6d6c2ab3d30
hexc84a33bc1ca4

220221021101220 has 96 divisors (see below), whose sum is σ = 685144621069440. Its totient is φ = 58724529448320.

The previous prime is 220221021101219. The next prime is 220221021101227. The reversal of 220221021101220 is 22101120122022.

It is a happy number.

220221021101220 is a `hidden beast` number, since 2 + 20 + 2 + 210 + 211 + 0 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220221021101193 and 220221021101202.

It is not an unprimeable number, because it can be changed into a prime (220221021101227) 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, 25976175 + ... + 33394665.

It is an arithmetic number, because the mean of its divisors is an integer number (7136923136140).

Almost surely, 2220221021101220 is an apocalyptic number.

220221021101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220221021101220 is an abundant number, since it is smaller than the sum of its proper divisors (464923599968220).

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

220221021101220 is a wasteful number, since it uses less digits than its factorization.

220221021101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473482 (or 7473474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220221021101220 its reverse (22101120122022), we get a palindrome (242322141223242).

The spelling of 220221021101220 in words is "two hundred twenty trillion, two hundred twenty-one billion, twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 54973 109946 164919 219892 274865 329838 494757 549730 659676 824595 989514 1099460 1484271 1649190 1979028 2473785 2968542 3298380 4947570 5937084 7418491 7421355 9895140 14836982 14842710 22255473 29673964 29685420 37092455 44510946 66766419 74184910 89021892 111277365 133532838 148369820 200299257 222554730 267065676 333832095 400598514 445109460 667664190 801197028 1001496285 1335328380 2002992570 4005985140 407816705743 815633411486 1223450117229 1631266822972 2039083528715 2446900234458 3670350351687 4078167057430 4893800468916 6117250586145 7340700703374 8156334114860 11011051055061 12234501172290 14681401406748 18351751758435 22022102110122 24469002344580 36703503516870 44044204220244 55055255275305 73407007033740 110110510550610 220221021101220