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2201221222020 = 2232537330513697
BaseRepresentation
bin100000000010000011000…
…000100100111010000100
321210102201220002001010200
4200002003000210322010
5242031100113101040
64403121014050500
7315014212446102
oct40020300447204
97712656061120
102201221222020
11779594aa3187
122b6740649a30
1312c760898412
147877ac26c72
153c3d3780630
hex20083024e84

2201221222020 has 72 divisors (see below), whose sum is σ = 6857498206104. Its totient is φ = 571127666688.

The previous prime is 2201221222019. The next prime is 2201221222043. The reversal of 2201221222020 is 202221221022.

2201221222020 is a `hidden beast` number, since 2 + 201 + 221 + 2 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 976622250564 + 1224598971456 = 988242^2 + 1106616^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2201221221984 and 2201221222002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165250189 + ... + 165263508.

Almost surely, 22201221222020 is an apocalyptic number.

2201221222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201221222020 is an abundant number, since it is smaller than the sum of its proper divisors (4656276984084).

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

2201221222020 is a wasteful number, since it uses less digits than its factorization.

2201221222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330513749 (or 330513744 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2201221222020 its reverse (202221221022), we get a palindrome (2403442443042).

The spelling of 2201221222020 in words is "two trillion, two hundred one billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 330513697 661027394 991541091 1322054788 1652568485 1983082182 2974623273 3305136970 3966164364 4957705455 5949246546 6610273940 9915410910 11898493092 12229006789 14873116365 19830821820 24458013578 29746232730 36687020367 48916027156 59492465460 61145033945 73374040734 110061061101 122290067890 146748081468 183435101835 220122122202 244580135780 366870203670 440244244404 550305305505 733740407340 1100610611010 2201221222020