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2211414020 = 225173639137
BaseRepresentation
bin1000001111001111…
…1000000000000100
312201010011110201222
42003303320000010
514012110222040
61003234135512
7105541465124
oct20363700004
95633143658
102211414020
11a353160a2
12518721598
132931c9a0a
1416d9acc84
15ce223bb5
hex83cf8004

2211414020 has 24 divisors (see below), whose sum is σ = 4670820504. Its totient is φ = 879451136.

The previous prime is 2211414011. The next prime is 2211414031. The reversal of 2211414020 is 204141122.

It can be written as a sum of positive squares in 4 ways, for example, as 1157632576 + 1053781444 = 34024^2 + 32462^2 .

It is a super-3 number, since 3×22114140203 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2211414020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316109 + ... + 323028.

It is an arithmetic number, because the mean of its divisors is an integer number (194617521).

Almost surely, 22211414020 is an apocalyptic number.

2211414020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211414020 is an abundant number, since it is smaller than the sum of its proper divisors (2459406484).

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

2211414020 is a wasteful number, since it uses less digits than its factorization.

2211414020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639319 (or 639317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2211414020 is about 47025.6740515221. The cubic root of 2211414020 is about 1302.8368071046.

Adding to 2211414020 its reverse (204141122), we get a palindrome (2415555142).

The spelling of 2211414020 in words is "two billion, two hundred eleven million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 639137 1278274 2556548 3195685 6391370 12782740 110570701 221141402 442282804 552853505 1105707010 2211414020