Search a number
-
+
214033222130 = 25713218092411
BaseRepresentation
bin1100011101010101011…
…1111100100111110010
3202110110100021020021012
43013111113330213302
512001320001102010
6242154150430522
721314641241030
oct3072527744762
9673410236235
10214033222130
11828531a0742
1235593362442
131724c790800
14a505b65550
15587a46b005
hex31d55fc9f2

214033222130 has 48 divisors (see below), whose sum is σ = 476771241024. Its totient is φ = 67737983040.

The previous prime is 214033222087. The next prime is 214033222133. The reversal of 214033222130 is 31222330412.

It is a junction number, because it is equal to n+sod(n) for n = 214033222096 and 214033222105.

It is not an unprimeable number, because it can be changed into a prime (214033222133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9034376 + ... + 9058035.

It is an arithmetic number, because the mean of its divisors is an integer number (9932734188).

Almost surely, 2214033222130 is an apocalyptic number.

214033222130 is an abundant number, since it is smaller than the sum of its proper divisors (262738018894).

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

214033222130 is a wasteful number, since it uses less digits than its factorization.

214033222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18092451 (or 18092438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 214033222130 its reverse (31222330412), we get a palindrome (245255552542).

The spelling of 214033222130 in words is "two hundred fourteen billion, thirty-three million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2366 5915 11830 18092411 36184822 90462055 126646877 180924110 235201343 253293754 470402686 633234385 1176006715 1266468770 1646409401 2352013430 3057617459 3292818802 6115234918 8232047005 15288087295 16464094010 21403322213 30576174590 42806644426 107016611065 214033222130