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202202212021220 = 225101417723964593
BaseRepresentation
bin101101111110011011011111…
…000001010011001111100100
3222111221100020211001220200202
4231332123133001103033210
5203000340112234134340
61554014225215530032
760406425211534205
oct5576333701231744
9874840224056622
10202202212021220
1159478527315644
121a818187829918
1388a97821c25c8
1437d08d42815ac
151859b247d4c15
hexb7e6df0533e4

202202212021220 has 48 divisors (see below), whose sum is σ = 428931531867888. Its totient is φ = 80060908953600.

The previous prime is 202202212021153. The next prime is 202202212021223. The reversal of 202202212021220 is 22120212202202.

It can be written as a sum of positive squares in 8 ways, for example, as 69416091783424 + 132786120237796 = 8331632^2 + 11523286^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202202212021192 and 202202212021201.

It is not an unprimeable number, because it can be changed into a prime (202202212021223) 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, 3544757 + ... + 20419836.

It is an arithmetic number, because the mean of its divisors is an integer number (8936073580581).

Almost surely, 2202202212021220 is an apocalyptic number.

202202212021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202202212021220 is an abundant number, since it is smaller than the sum of its proper divisors (226729319846668).

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

202202212021220 is a wasteful number, since it uses less digits than its factorization.

202202212021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23968880 (or 23968878 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202202212021220 its reverse (22120212202202), we get a palindrome (224322424223422).

The spelling of 202202212021220 in words is "two hundred two trillion, two hundred two billion, two hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 4177 8354 16708 20885 41770 83540 421877 843754 1687508 2109385 4218770 8437540 23964593 47929186 95858372 119822965 239645930 479291860 2420423893 4840847786 9681695572 12102119465 24204238930 48408477860 100100104961 200200209922 400400419844 500500524805 1001001049610 2002002099220 10110110601061 20220221202122 40440442404244 50550553005305 101101106010610 202202212021220