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20222012112 = 2435971163617
BaseRepresentation
bin10010110101010100…
…110110101011010000
31221012022021122121120
4102311110312223100
5312403313341422
613142335522240
71314056160351
oct226524665320
957168248546
1020222012112
118637887005
123b04389380
131ba369b153
14d9b997d28
157d54c245c
hex4b5536ad0

20222012112 has 160 divisors (see below), whose sum is σ = 54292239360. Its totient is φ = 6482488320.

The previous prime is 20222012089. The next prime is 20222012191. The reversal of 20222012112 is 21121022202.

It is a junction number, because it is equal to n+sod(n) for n = 20222012091 and 20222012100.

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 31 ways as a sum of consecutive naturals, for example, 32774428 + ... + 32775044.

It is an arithmetic number, because the mean of its divisors is an integer number (339326496).

Almost surely, 220222012112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27146119680).

20222012112 is an abundant number, since it is smaller than the sum of its proper divisors (34070227248).

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

20222012112 is a wasteful number, since it uses less digits than its factorization.

20222012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20222012112 its reverse (21121022202), we get a palindrome (41343034314).

The spelling of 20222012112 in words is "twenty billion, two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 71 118 142 163 177 213 236 284 326 354 426 472 489 568 617 652 708 852 944 978 1136 1234 1304 1416 1704 1851 1956 2468 2608 2832 3408 3702 3912 4189 4936 7404 7824 8378 9617 9872 11573 12567 14808 16756 19234 23146 25134 28851 29616 33512 34719 36403 38468 43807 46292 50268 57702 67024 69438 72806 76936 87614 92584 100536 100571 109209 115404 131421 138876 145612 153872 175228 185168 201072 201142 218418 230808 262842 277752 291224 301713 350456 402284 436836 461616 525684 555504 582448 603426 682807 700912 804568 873672 1051368 1206852 1365614 1609136 1747344 2048421 2102736 2413704 2584613 2731228 4096842 4827408 5169226 5462456 5933689 7140541 7753839 8193684 10338452 10924912 11867378 14281082 15507678 16387368 17801067 20676904 21421623 23734756 28562164 31015356 32774736 35602134 41353808 42843246 47469512 57124328 62030712 71204268 85686492 94939024 114248656 124061424 142408536 171372984 284817072 342745968 421291919 842583838 1263875757 1685167676 2527751514 3370335352 5055503028 6740670704 10111006056 20222012112