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20220222220 = 225117910111519
BaseRepresentation
bin10010110101001110…
…000001101100001100
31221012011220201100021
4102311032001230030
5312402334102340
613142233311524
71314035024122
oct226516015414
957164821307
1020220222220
118636874260
123b038655a4
131ba31c2543
14d9b64d912
157d526be4a
hex4b5381b0c

20220222220 has 96 divisors (see below), whose sum is σ = 47377612800. Its totient is φ = 7187232000.

The previous prime is 20220222193. The next prime is 20220222271. The reversal of 20220222220 is 2222202202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20220222194 and 20220222203.

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, 1749621 + ... + 1761139.

It is an arithmetic number, because the mean of its divisors is an integer number (493516800).

Almost surely, 220220222220 is an apocalyptic number.

20220222220 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 20220222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688806400).

20220222220 is an abundant number, since it is smaller than the sum of its proper divisors (27157390580).

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

20220222220 is a wasteful number, since it uses less digits than its factorization.

20220222220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20220222220 its reverse (2222202202), we get a palindrome (22442424422).

It can be divided in two parts, 202202 and 22220, that added together give a palindrome (224422).

The spelling of 20220222220 in words is "twenty billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 101 110 158 202 220 316 395 404 505 790 869 1010 1111 1580 1738 2020 2222 3476 4345 4444 5555 7979 8690 11110 11519 15958 17380 22220 23038 31916 39895 46076 57595 79790 87769 115190 126709 159580 175538 230380 253418 351076 438845 506836 633545 877690 910001 1163419 1267090 1755380 1820002 2326838 2534180 3640004 4550005 4653676 5817095 9100010 10010011 11634190 12797609 18200020 20020022 23268380 25595218 40040044 50050055 51190436 63988045 91910101 100100110 127976090 183820202 200200220 255952180 367640404 459550505 919101010 1011011111 1838202020 2022022222 4044044444 5055055555 10110111110 20220222220