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20220112320 = 263573288529
BaseRepresentation
bin10010110101001101…
…100110110111000000
31221012011201010120220
4102311031212313000
5312402322043240
613142231103040
71314034055532
oct226515466700
957164633526
1020220112320
1186367a9731
123b03811a80
131ba3184505
14d9b621852
157d52495d0
hex4b5366dc0

20220112320 has 112 divisors (see below), whose sum is σ = 65078518560. Its totient is φ = 5318148096.

The previous prime is 20220112271. The next prime is 20220112349. The reversal of 20220112320 is 2321102202.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20220112320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74185 + ... + 214344.

Almost surely, 220220112320 is an apocalyptic number.

20220112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220112320 is an abundant number, since it is smaller than the sum of its proper divisors (44858406240).

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

20220112320 is a wasteful number, since it uses less digits than its factorization.

20220112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288622 (or 288612 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20220112320 its reverse (2321102202), we get a palindrome (22541214522).

The spelling of 20220112320 in words is "twenty billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 146 160 192 219 240 292 320 365 438 480 584 730 876 960 1095 1168 1460 1752 2190 2336 2920 3504 4380 4672 5840 7008 8760 11680 14016 17520 23360 35040 70080 288529 577058 865587 1154116 1442645 1731174 2308232 2885290 3462348 4327935 4616464 5770580 6924696 8655870 9232928 11541160 13849392 17311740 18465856 21062617 23082320 27698784 34623480 42125234 46164640 55397568 63187851 69246960 84250468 92329280 105313085 126375702 138493920 168500936 210626170 252751404 276987840 315939255 337001872 421252340 505502808 631878510 674003744 842504680 1011005616 1263757020 1348007488 1685009360 2022011232 2527514040 3370018720 4044022464 5055028080 6740037440 10110056160 20220112320