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202212210222020 = 225138118233401537
BaseRepresentation
bin101101111110100100110010…
…111101011010001111000100
3222111222022001121110010210002
4231332210302331122033010
5203001021101304101040
61554023001300020432
760410231035043525
oct5576446275321704
9874868047403702
10202212210222020
1159481798010909
121a81a0b8091718
1388aa6b66ccb5b
1437d11a209684c
15185a00c439a15
hexb7e932f5a3c4

202212210222020 has 48 divisors (see below), whose sum is σ = 424977498067248. Its totient is φ = 80821680046080.

The previous prime is 202212210222019. The next prime is 202212210222053. The reversal of 202212210222020 is 20222012212202.

It can be written as a sum of positive squares in 8 ways, for example, as 21737059939204 + 180475150282816 = 4662302^2 + 13434104^2 .

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 = 202212210221983 and 202212210222001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503394692 + ... + 503796228.

It is an arithmetic number, because the mean of its divisors is an integer number (8853697876401).

Almost surely, 2202212210222020 is an apocalyptic number.

202212210222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202212210222020 is an abundant number, since it is smaller than the sum of its proper divisors (222765287845228).

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

202212210222020 is a wasteful number, since it uses less digits than its factorization.

202212210222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421160 (or 421158 counting only the distinct ones).

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

Adding to 202212210222020 its reverse (20222012212202), we get a palindrome (222434222434222).

The spelling of 202212210222020 in words is "two hundred two trillion, two hundred twelve billion, two hundred ten million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 1381 2762 5524 6905 13810 18233 27620 36466 72932 91165 182330 364660 401537 803074 1606148 2007685 4015370 8030740 25179773 50359546 100719092 125898865 251797730 503595460 554522597 1109045194 2218090388 2772612985 5545225970 7321224121 11090451940 14642448242 29284896484 36606120605 73212241210 146424482420 10110610511101 20221221022202 40442442044404 50553052555505 101106105111010 202212210222020