Search a number
-
+
213023140 = 225111019587
BaseRepresentation
bin11001011001001…
…11100110100100
3112211211200210221
430230213212210
5414013220030
633045454124
75164444501
oct1454474644
9484750727
10213023140
11aa278490
125b411344
1335196bc5
14204124a8
1513a7ce7a
hexcb279a4

213023140 has 48 divisors (see below), whose sum is σ = 492899904. Its totient is φ = 76688000.

The previous prime is 213023131. The next prime is 213023143. The reversal of 213023140 is 41320312.

It is a happy number.

213023140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213023143) 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, 17427 + ... + 27013.

It is an arithmetic number, because the mean of its divisors is an integer number (10268748).

Almost surely, 2213023140 is an apocalyptic number.

213023140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213023140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246449952).

213023140 is an abundant number, since it is smaller than the sum of its proper divisors (279876764).

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

213023140 is a wasteful number, since it uses less digits than its factorization.

213023140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9708 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213023140 is about 14595.3122611337. The cubic root of 213023140 is about 597.2308878385.

Adding to 213023140 its reverse (41320312), we get a palindrome (254343452).

It can be divided in two parts, 21302 and 3140, that added together give a palindrome (24442).

The spelling of 213023140 in words is "two hundred thirteen million, twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 9587 11110 19174 22220 38348 47935 95870 105457 191740 210914 421828 527285 968287 1054570 1936574 2109140 3873148 4841435 9682870 10651157 19365740 21302314 42604628 53255785 106511570 213023140