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2202022020 = 2235113679091
BaseRepresentation
bin1000001101000000…
…0011000010000100
312200110111022100010
42003100003002010
514002204201040
61002300550220
7105365610162
oct20320030204
95613438303
102202022020
11a2aa90810
12515552370
1329128bb13
1416c646232
15cd4bae80
hex83403084

2202022020 has 96 divisors (see below), whose sum is σ = 6745245696. Its totient is φ = 532310400.

The previous prime is 2202022007. The next prime is 2202022079. The reversal of 2202022020 is 202202022.

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 = 2202021987 and 2202022005.

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, 237675 + ... + 246765.

It is an arithmetic number, because the mean of its divisors is an integer number (70262976).

Almost surely, 22202022020 is an apocalyptic number.

2202022020 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 2202022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372622848).

2202022020 is an abundant number, since it is smaller than the sum of its proper divisors (4543223676).

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

2202022020 is a wasteful number, since it uses less digits than its factorization.

2202022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9481 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2202022020 is about 46925.7074533778. The cubic root of 2202022020 is about 1300.9897827057.

Adding to 2202022020 its reverse (202202022), we get a palindrome (2404224042).

It can be divided in two parts, 220202 and 2020, that added together give a palindrome (222222).

The spelling of 2202022020 in words is "two billion, two hundred two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 367 660 734 1101 1468 1835 2202 3670 4037 4404 5505 7340 8074 9091 11010 12111 16148 18182 20185 22020 24222 27273 36364 40370 45455 48444 54546 60555 80740 90910 100001 109092 121110 136365 181820 200002 242220 272730 300003 400004 500005 545460 600006 1000010 1200012 1500015 2000020 3000030 3336397 6000060 6672794 10009191 13345588 16681985 20018382 33363970 36700367 40036764 50045955 66727940 73400734 100091910 110101101 146801468 183501835 200183820 220202202 367003670 440404404 550505505 734007340 1101011010 2202022020