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23213140 = 2251736709
BaseRepresentation
bin101100010001…
…1010001010100
31121200100102221
41120203101110
521420310030
62145312124
7401210536
oct130432124
947610387
1023213140
1112115415
127935644
134a69ab2
143123856
152087e7a
hex1623454

23213140 has 24 divisors (see below), whose sum is σ = 49036680. Its totient is φ = 9230208.

The previous prime is 23213131. The next prime is 23213147. The reversal of 23213140 is 4131232.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8375236 + 14837904 = 2894^2 + 3852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 6814.

It is an arithmetic number, because the mean of its divisors is an integer number (2043195).

Almost surely, 223213140 is an apocalyptic number.

23213140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23213140 is an abundant number, since it is smaller than the sum of its proper divisors (25823540).

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

23213140 is a wasteful number, since it uses less digits than its factorization.

23213140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891 (or 6889 counting only the distinct ones).

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

The square root of 23213140 is about 4818.0016604397. The cubic root of 23213140 is about 285.2624646883.

Subtracting from 23213140 its sum of digits (16), we obtain a square (23213124 = 48182).

Adding to 23213140 its reverse (4131232), we get a palindrome (27344372).

The spelling of 23213140 in words is "twenty-three million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 6709 13418 26836 33545 67090 134180 1160657 2321314 4642628 5803285 11606570 23213140