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220201010020 = 225101337323473
BaseRepresentation
bin1100110100010100000…
…0001100001101100100
3210001101012001022122201
43031011000030031210
512101432424310040
6245054155504244
721623533462645
oct3150500141544
9701335038581
10220201010020
1185428803002
1236814a58084
13179c3545a44
14a92cd6d6cc
155adbb98a9a
hex334500c364

220201010020 has 48 divisors (see below), whose sum is σ = 468387764208. Its totient is φ = 86949273600.

The previous prime is 220201009991. The next prime is 220201010021. The reversal of 220201010020 is 20010102022.

It can be written as a sum of positive squares in 8 ways, for example, as 13670754084 + 206530255936 = 116922^2 + 454456^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220201009979 and 220201010006.

It is not an unprimeable number, because it can be changed into a prime (220201010021) 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, 519004 + ... + 842476.

It is an arithmetic number, because the mean of its divisors is an integer number (9758078421).

Almost surely, 2220201010020 is an apocalyptic number.

220201010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220201010020 is an abundant number, since it is smaller than the sum of its proper divisors (248186754188).

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

220201010020 is a wasteful number, since it uses less digits than its factorization.

220201010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323920 (or 323918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220201010020 its reverse (20010102022), we get a palindrome (240211112042).

The spelling of 220201010020 in words is "two hundred twenty billion, two hundred one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 337 404 505 674 1010 1348 1685 2020 3370 6740 34037 68074 136148 170185 323473 340370 646946 680740 1293892 1617365 3234730 6469460 32670773 65341546 109010401 130683092 163353865 218020802 326707730 436041604 545052005 653415460 1090104010 2180208020 11010050501 22020101002 44040202004 55050252505 110100505010 220201010020