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2022300020 = 2251347732267
BaseRepresentation
bin111100010001001…
…1101100101110100
312012221022111002202
41320202131211310
513120202100040
6532400524032
7101054160266
oct17042354564
95187274082
102022300020
11948598a34
12485320618
13262c84640
14152821b36
15bc81a015
hex7889d974

2022300020 has 96 divisors (see below), whose sum is σ = 4736890368. Its totient is φ = 720479232.

The previous prime is 2022300013. The next prime is 2022300053. The reversal of 2022300020 is 200032202.

It is a junction number, because it is equal to n+sod(n) for n = 2022299974 and 2022300010.

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, 890927 + ... + 893193.

It is an arithmetic number, because the mean of its divisors is an integer number (49342608).

Almost surely, 22022300020 is an apocalyptic number.

2022300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368445184).

2022300020 is an abundant number, since it is smaller than the sum of its proper divisors (2714590348).

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

2022300020 is a wasteful number, since it uses less digits than its factorization.

2022300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 2022300020 is about 44969.9902156983. The cubic root of 2022300020 is about 1264.5864635866.

Adding to 2022300020 its reverse (200032202), we get a palindrome (2222332222).

The spelling of 2022300020 in words is "two billion, twenty-two million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 47 52 65 73 94 130 146 188 235 260 292 365 470 611 730 940 949 1222 1460 1898 2267 2444 3055 3431 3796 4534 4745 6110 6862 9068 9490 11335 12220 13724 17155 18980 22670 29471 34310 44603 45340 58942 68620 89206 106549 117884 147355 165491 178412 213098 223015 294710 330982 426196 446030 532745 589420 661964 827455 892060 1065490 1385137 1654910 2130980 2151383 2770274 3309820 4302766 5540548 6925685 7778077 8605532 10756915 13851370 15556154 21513830 27702740 31112308 38890385 43027660 77780770 101115001 155561540 202230002 404460004 505575005 1011150010 2022300020