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2214243144 = 233230753377
BaseRepresentation
bin1000001111111010…
…1010101101001000
312201022111012120100
42003332222231020
514013321240034
61003414525400
7105604520241
oct20376525510
95638435510
102214243144
11a36978713
12519666860
1329397a659
14170107cc8
15ce5d2099
hex83faab48

2214243144 has 24 divisors (see below), whose sum is σ = 5996908710. Its totient is φ = 738081024.

The previous prime is 2214243137. The next prime is 2214243167. The reversal of 2214243144 is 4413424122.

2214243144 is a `hidden beast` number, since 221 + 4 + 2 + 431 + 4 + 4 = 666.

2214243144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2011522500 + 202720644 = 44850^2 + 14238^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15376617 + ... + 15376760.

Almost surely, 22214243144 is an apocalyptic number.

2214243144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2214243144 is an abundant number, since it is smaller than the sum of its proper divisors (3782665566).

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

2214243144 is a wasteful number, since it uses less digits than its factorization.

2214243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30753389 (or 30753382 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2214243144 is about 47055.7450690136. The cubic root of 2214243144 is about 1303.3921555743.

Adding to 2214243144 its reverse (4413424122), we get a palindrome (6627667266).

The spelling of 2214243144 in words is "two billion, two hundred fourteen million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 30753377 61506754 92260131 123013508 184520262 246027016 276780393 369040524 553560786 738081048 1107121572 2214243144