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2202221122020 = 2233529140627147
BaseRepresentation
bin100000000010111110100…
…110111001000111100100
321210112022120120020002000
4200002332212321013210
5242040122101401040
64403404133245300
7315051043452333
oct40027646710744
97715276506060
102202221122020
11779a58458917
122b697b493830
1312c88ca9bc1a
1478833949d1a
153c441442130
hex200be9b91e4

2202221122020 has 96 divisors (see below), whose sum is σ = 7087608259200. Its totient is φ = 567008652672.

The previous prime is 2202221122007. The next prime is 2202221122021. The reversal of 2202221122020 is 202211222022.

2202221122020 is a `hidden beast` number, since 2 + 202 + 221 + 1 + 220 + 20 = 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 = 2202221121984 and 2202221122002.

It is not an unprimeable number, because it can be changed into a prime (2202221122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70297914 + ... + 70329233.

It is an arithmetic number, because the mean of its divisors is an integer number (73829252700).

Almost surely, 22202221122020 is an apocalyptic number.

2202221122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202221122020 is an abundant number, since it is smaller than the sum of its proper divisors (4885387137180).

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

2202221122020 is a wasteful number, since it uses less digits than its factorization.

2202221122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140627194 (or 140627186 counting only the distinct ones).

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

Adding to 2202221122020 its reverse (202211222022), we get a palindrome (2404432344042).

The spelling of 2202221122020 in words is "two trillion, two hundred two billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 140627147 281254294 421881441 562508588 703135735 843762882 1265644323 1406271470 1687525764 2109407205 2531288646 2812542940 3796932969 4078187263 4218814410 5062577292 6328221615 7593865938 8156374526 8437628820 12234561789 12656443230 15187731876 16312749052 18984664845 20390936315 24469123578 25312886460 36703685367 37969329690 40781872630 48938247156 61172808945 73407370734 75938659380 81563745260 110111056101 122345617890 146814741468 183518426835 220222112202 244691235780 367036853670 440444224404 550555280505 734073707340 1101110561010 2202221122020