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23314192 = 2411139953
BaseRepresentation
bin101100011101…
…1111100010000
31121212111001121
41120323330100
521432023232
62151412024
7402111256
oct130737420
947774047
1023314192
1112184330
127984014
134aa3aa5
14314c5d6
1520a7d97
hex163bf10

23314192 has 40 divisors (see below), whose sum is σ = 49684320. Its totient is φ = 10510080.

The previous prime is 23314183. The next prime is 23314237. The reversal of 23314192 is 29141332.

It is a super-2 number, since 2×233141922 = 1087103097225728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23988 + ... + 24940.

It is an arithmetic number, because the mean of its divisors is an integer number (1242108).

Almost surely, 223314192 is an apocalyptic number.

23314192 is a gapful number since it is divisible by the number (22) 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 23314192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24842160).

23314192 is an abundant number, since it is smaller than the sum of its proper divisors (26370128).

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

23314192 is a wasteful number, since it uses less digits than its factorization.

23314192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1105 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 23314192 is about 4828.4771926561. The cubic root of 23314192 is about 285.6758026264.

The spelling of 23314192 in words is "twenty-three million, three hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 953 1112 1529 1906 2224 3058 3812 6116 7624 10483 12232 15248 20966 24464 41932 83864 132467 167728 264934 529868 1059736 1457137 2119472 2914274 5828548 11657096 23314192