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202202222222020 = 22553811723500901
BaseRepresentation
bin101101111110011011011111…
…101000001101101011000100
3222111221100021112021011120011
4231332123133220031223010
5203000340122342101040
61554014230222320004
760406425364331146
oct5576333750155304
9874840245234504
10202202222222020
1159478532052659
121a81818b129004
1388a9784354697
1437d08d5778c96
151859b2564c3ea
hexb7e6dfa0dac4

202202222222020 has 48 divisors (see below), whose sum is σ = 432689771284848. Its totient is φ = 79345054630400.

The previous prime is 202202222221991. The next prime is 202202222222023. The reversal of 202202222222020 is 20222222202202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2903949993604 + 199298272228416 = 1704098^2 + 14117304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202202222221982 and 202202222222000.

It is not an unprimeable number, because it can be changed into a prime (202202222222023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3146431 + ... + 20354470.

It is an arithmetic number, because the mean of its divisors is an integer number (9014370235101).

Almost surely, 2202202222222020 is an apocalyptic number.

202202222222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202222222020 is an abundant number, since it is smaller than the sum of its proper divisors (230487549062828).

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

202202222222020 is a wasteful number, since it uses less digits than its factorization.

202202222222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23509080 (or 23509078 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 202202222222020 its reverse (20222222202202), we get a palindrome (222424444424222).

It can be divided in two parts, 202202 and 222222020, that added together give a palindrome (222424222).

The spelling of 202202222222020 in words is "two hundred two trillion, two hundred two billion, two hundred twenty-two million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 8117 16234 32468 40585 81170 162340 430201 860402 1720804 2151005 4302010 8604020 23500901 47001802 94003604 117504505 235009010 470018020 1245547753 2491095506 4982191012 6227738765 12455477530 24910955060 190756813417 381513626834 763027253668 953784067085 1907568134170 3815136268340 10110111111101 20220222222202 40440444444404 50550555555505 101101111111010 202202222222020