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20222001120 = 2535231831703
BaseRepresentation
bin10010110101010100…
…110011111111100000
31221012022021002112110
4102311110303333200
5312403313013440
613142335355320
71314056113326
oct226524637740
957168232473
1020222001120
118637879822
123b04382b40
131ba3696149
14d9b993d16
157d54be080
hex4b5533fe0

20222001120 has 96 divisors (see below), whose sum is σ = 66468874752. Its totient is φ = 5158072832.

The previous prime is 20222001113. The next prime is 20222001139. The reversal of 20222001120 is 2110022202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20222001096 and 20222001105.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 904812 + ... + 926891.

It is an arithmetic number, because the mean of its divisors is an integer number (692384112).

Almost surely, 220222001120 is an apocalyptic number.

20222001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222001120 is an abundant number, since it is smaller than the sum of its proper divisors (46246873632).

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

20222001120 is a wasteful number, since it uses less digits than its factorization.

20222001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831744 (or 1831736 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20222001120 its reverse (2110022202), we get a palindrome (22332023322).

The spelling of 20222001120 in words is "twenty billion, two hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 1831703 3663406 5495109 7326812 9158515 10990218 14653624 18317030 21980436 27475545 29307248 36634060 42129169 43960872 54951090 58614496 73268120 84258338 87921744 109902180 126387507 146536240 168516676 175843488 210645845 219804360 252775014 293072480 337033352 421291690 439608720 505550028 631937535 674066704 842583380 879217440 1011100056 1263875070 1348133408 1685166760 2022200112 2527750140 3370333520 4044400224 5055500280 6740667040 10111000560 20222001120