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220202101222020 = 223251378929525597
BaseRepresentation
bin110010000100010111001100…
…000001011010101010000100
31001212200010010001012101110100
4302010113030001122222010
5212330242400403101040
62100155240534124100
764245035226360231
oct6204271401325204
91055603101171410
10220202101222020
1164188206534805
12208447861b0630
1395b3c79cb9c08
143c53ba504a788
151a6ce66aa3b30
hexc845cc05aa84

220202101222020 has 72 divisors (see below), whose sum is σ = 672821894758104. Its totient is φ = 58291943090688.

The previous prime is 220202101221989. The next prime is 220202101222031. The reversal of 220202101222020 is 20222101202022.

220202101222020 is a `hidden beast` number, since 2 + 202 + 0 + 210 + 12 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36162326574144 + 184039774647876 = 6013512^2 + 13566126^2 .

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 = 220202101221984 and 220202101222002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464738139 + ... + 4464787458.

It is an arithmetic number, because the mean of its divisors is an integer number (9344748538307).

Almost surely, 2220202101222020 is an apocalyptic number.

220202101222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220202101222020 is an abundant number, since it is smaller than the sum of its proper divisors (452619793536084).

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

220202101222020 is a wasteful number, since it uses less digits than its factorization.

220202101222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8929525749 (or 8929525744 counting only the distinct ones).

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

Adding to 220202101222020 its reverse (20222101202022), we get a palindrome (240424202424042).

The spelling of 220202101222020 in words is "two hundred twenty trillion, two hundred two billion, one hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1370 1644 2055 2466 2740 4110 4932 6165 8220 12330 24660 8929525597 17859051194 26788576791 35718102388 44647627985 53577153582 80365730373 89295255970 107154307164 133942883955 160731460746 178590511940 267885767910 321462921492 401828651865 535771535820 803657303730 1223345006789 1607314607460 2446690013578 3670035020367 4893380027156 6116725033945 7340070040734 11010105061101 12233450067890 14680140081468 18350175101835 22020210122202 24466900135780 36700350203670 44040420244404 55050525305505 73400700407340 110101050611010 220202101222020