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23130414 = 2331014241
BaseRepresentation
bin101100000111…
…1000100101110
31121112010222000
41120033010232
521410133124
62143433130
7400414416
oct130170456
947463860
1023130414
111206924a
1278b57a6
134a3b248
143101646
15206d6c9
hex160f12e

23130414 has 32 divisors (see below), whose sum is σ = 51922080. Its totient is φ = 7632000.

The previous prime is 23130409. The next prime is 23130449. The reversal of 23130414 is 41403132.

It is a super-2 number, since 2×231304142 = 1070032103622792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3334 + ... + 7574.

It is an arithmetic number, because the mean of its divisors is an integer number (1622565).

Almost surely, 223130414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23130414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25961040).

23130414 is an abundant number, since it is smaller than the sum of its proper divisors (28791666).

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

23130414 is a wasteful number, since it uses less digits than its factorization.

23130414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 23130414 is about 4809.4089033893. The cubic root of 23130414 is about 284.9231925987.

Adding to 23130414 its reverse (41403132), we get a palindrome (64533546).

The spelling of 23130414 in words is "twenty-three million, one hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 4241 5454 8482 12723 25446 38169 76338 114507 229014 428341 856682 1285023 2570046 3855069 7710138 11565207 23130414