Search a number
-
+
221020112220 = 223529127023053
BaseRepresentation
bin1100110111010111010…
…0110100010101011100
3210010111021100000122020
43031311310310111130
512110122122042340
6245311340020140
721653040646005
oct3156564642534
9703437300566
10221020112220
1185809100676
1236a03231650
1317ac41564bb
14a9a9a6c1ac
155b38a459d0
hex3375d3455c

221020112220 has 48 divisors (see below), whose sum is σ = 640196192160. Its totient is φ = 56906327296.

The previous prime is 221020112197. The next prime is 221020112221. The reversal of 221020112220 is 22211020122.

It is a super-4 number, since 4×2210201122204 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221020112220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020112221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63509787 + ... + 63513266.

It is an arithmetic number, because the mean of its divisors is an integer number (13337420670).

Almost surely, 2221020112220 is an apocalyptic number.

221020112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020112220 is an abundant number, since it is smaller than the sum of its proper divisors (419176079940).

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

221020112220 is a wasteful number, since it uses less digits than its factorization.

221020112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127023094 (or 127023092 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221020112220 its reverse (22211020122), we get a palindrome (243231132342).

The spelling of 221020112220 in words is "two hundred twenty-one billion, twenty million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 127023053 254046106 381069159 508092212 635115265 762138318 1270230530 1524276636 1905345795 2540461060 3683668537 3810691590 7367337074 7621383180 11051005611 14734674148 18418342685 22102011222 36836685370 44204022444 55255028055 73673370740 110510056110 221020112220