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2022201221220 = 2232537303633817
BaseRepresentation
bin11101011011010100100…
…101011110000001100100
321011022122200100202001200
4131123110211132001210
5231112432003034340
64144553022122500
7266046013525365
oct35332445360144
97138580322050
102022201221220
1170a6799639a4
12287abb120430
13118900caa46b
146dc3724db6c
1537907107330
hex1d6d495e064

2022201221220 has 72 divisors (see below), whose sum is σ = 6299794455864. Its totient is φ = 524679234048.

The previous prime is 2022201221207. The next prime is 2022201221231. The reversal of 2022201221220 is 221221022202.

2022201221220 is a `hidden beast` number, since 2 + 0 + 2 + 220 + 1 + 221 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 749059092324 + 1273142128896 = 865482^2 + 1128336^2 .

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 = 2022201221193 and 2022201221202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151810249 + ... + 151823568.

Almost surely, 22022201221220 is an apocalyptic number.

2022201221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022201221220 is an abundant number, since it is smaller than the sum of its proper divisors (4277593234644).

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

2022201221220 is a wasteful number, since it uses less digits than its factorization.

2022201221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303633869 (or 303633864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2022201221220 its reverse (221221022202), we get a palindrome (2243422243422).

The spelling of 2022201221220 in words is "two trillion, twenty-two billion, two hundred one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 303633817 607267634 910901451 1214535268 1518169085 1821802902 2732704353 3036338170 3643605804 4554507255 5465408706 6072676340 9109014510 10930817412 11234451229 13663521765 18218029020 22468902458 27327043530 33703353687 44937804916 54654087060 56172256145 67406707374 101110061061 112344512290 134813414748 168516768435 202220122122 224689024580 337033536870 404440244244 505550305305 674067073740 1011100610610 2022201221220