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202201202102220 = 223252348840870073
BaseRepresentation
bin101101111110011010100010…
…110100110000111111001100
3222111221020122102201201021100
4231332122202310300333030
5203000331030214232340
61554013541101503100
760406361166422016
oct5576324264607714
9874836572651240
10202201202102220
1159478059237542
121a817b45571a90
1388a9650bc16b9
1437d083a0b11b6
151859ab5ce4830
hexb7e6a2d30fcc

202201202102220 has 72 divisors (see below), whose sum is σ = 640010761449696. Its totient is φ = 51575958796032.

The previous prime is 202201202102213. The next prime is 202201202102227. The reversal of 202201202102220 is 22201202102202.

202201202102220 is a `hidden beast` number, since 2 + 0 + 220 + 12 + 0 + 210 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (202201202102213) and next prime (202201202102227).

It is a super-2 number, since 2×2022012021022202 (a number of 29 digits) contains 22 as substring.

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 = 202201202102193 and 202201202102202.

It is not an unprimeable number, because it can be changed into a prime (202201202102227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24420430897 + ... + 24420439176.

It is an arithmetic number, because the mean of its divisors is an integer number (8889038353468).

Almost surely, 2202201202102220 is an apocalyptic number.

202201202102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201202102220 is an abundant number, since it is smaller than the sum of its proper divisors (437809559347476).

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

202201202102220 is a wasteful number, since it uses less digits than its factorization.

202201202102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48840870111 (or 48840870106 counting only the distinct ones).

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

Subtracting from 202201202102220 its sum of digits (18), we obtain a palindrome (202201202102202).

Adding to 202201202102220 its reverse (22201202102202), we get a palindrome (224402404204422).

The spelling of 202201202102220 in words is "two hundred two trillion, two hundred one billion, two hundred two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 48840870073 97681740146 146522610219 195363480292 244204350365 293045220438 439567830657 488408700730 586090440876 732613051095 879135661314 976817401460 1123340011679 1465226102190 1758271322628 2197839153285 2246680023358 2930452204380 3370020035037 4395678306570 4493360046716 5616700058395 6740040070074 8791356613140 10110060105111 11233400116790 13480080140148 16850100175185 20220120210222 22466800233580 33700200350370 40440240420444 50550300525555 67400400700740 101100601051110 202201202102220