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22303120020 = 223510919917137
BaseRepresentation
bin10100110001010111…
…101001101010010100
32010120100020212222020
4110301113221222110
5331134044320040
614125041133140
71416456251346
oct246127515224
963510225866
1022303120020
1195055911a5
1243a532a1b0
1321458a2c4c
141118127296
158a8056cd0
hex5315e9a94

22303120020 has 96 divisors (see below), whose sum is σ = 63342048000. Its totient is φ = 5862979584.

The previous prime is 22303120013. The next prime is 22303120027. The reversal of 22303120020 is 2002130322.

It is an interprime number because it is at equal distance from previous prime (22303120013) and next prime (22303120027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22303120027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292892 + ... + 1310028.

It is an arithmetic number, because the mean of its divisors is an integer number (659813000).

Almost surely, 222303120020 is an apocalyptic number.

22303120020 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 22303120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31671024000).

22303120020 is an abundant number, since it is smaller than the sum of its proper divisors (41038927980).

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

22303120020 is a wasteful number, since it uses less digits than its factorization.

22303120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17457 (or 17455 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22303120020 its reverse (2002130322), we get a palindrome (24305250342).

The spelling of 22303120020 in words is "twenty-two billion, three hundred three million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 199 218 327 398 436 545 597 654 796 995 1090 1194 1308 1635 1990 2180 2388 2985 3270 3980 5970 6540 11940 17137 21691 34274 43382 51411 65073 68548 85685 86764 102822 108455 130146 171370 205644 216910 257055 260292 325365 342740 433820 514110 650730 1028220 1301460 1867933 3410263 3735866 5603799 6820526 7471732 9339665 10230789 11207598 13641052 17051315 18679330 20461578 22415196 28018995 34102630 37358660 40923156 51153945 56037990 68205260 102307890 112075980 204615780 371718667 743437334 1115156001 1486874668 1858593335 2230312002 3717186670 4460624004 5575780005 7434373340 11151560010 22303120020