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2212135220 = 225719315377
BaseRepresentation
bin1000001111011010…
…1000000100110100
312201011112010001002
42003312220010310
514012301311340
61003301422432
7105550560551
oct20366500464
95634463032
102212135220
11a35768a29
12518a0aa18
132933c0069
1416db19a28
15ce317715
hex83da8134

2212135220 has 24 divisors (see below), whose sum is σ = 4646431944. Its totient is φ = 884673536.

The previous prime is 2212135207. The next prime is 2212135241. The reversal of 2212135220 is 225312122.

It can be written as a sum of positive squares in 4 ways, for example, as 399760036 + 1812375184 = 19994^2 + 42572^2 .

It is a super-3 number, since 3×22121352203 (a number of 29 digits) contains 333 as substring.

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 = 2212135192 and 2212135201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136172 + ... + 151548.

It is an arithmetic number, because the mean of its divisors is an integer number (193601331).

Almost surely, 22212135220 is an apocalyptic number.

2212135220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212135220 is an abundant number, since it is smaller than the sum of its proper divisors (2434296724).

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

2212135220 is a wasteful number, since it uses less digits than its factorization.

2212135220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22579 (or 22577 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2212135220 is about 47033.3415780763. The cubic root of 2212135220 is about 1302.9784214400.

Adding to 2212135220 its reverse (225312122), we get a palindrome (2437447342).

The spelling of 2212135220 in words is "two billion, two hundred twelve million, one hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 7193 14386 15377 28772 30754 35965 61508 71930 76885 143860 153770 307540 110606761 221213522 442427044 553033805 1106067610 2212135220