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23214330 = 2335127677
BaseRepresentation
bin101100010001…
…1100011111010
31121200102002000
41120203203322
521420324310
62145321430
7401214156
oct130434372
947612060
1023214330
11121162a7
127936276
134a6a4b9
143124066
1520884c0
hex16238fa

23214330 has 64 divisors (see below), whose sum is σ = 62484480. Its totient is φ = 6132672.

The previous prime is 23214329. The next prime is 23214391. The reversal of 23214330 is 3341232.

23214330 is a `hidden beast` number, since 232 + 1 + 433 + 0 = 666.

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

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 33952 + ... + 34628.

It is an arithmetic number, because the mean of its divisors is an integer number (976320).

Almost surely, 223214330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31242240).

23214330 is an abundant number, since it is smaller than the sum of its proper divisors (39270150).

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

23214330 is a wasteful number, since it uses less digits than its factorization.

23214330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23214330 is about 4818.1251540407. The cubic root of 23214330 is about 285.2673391765.

Adding to 23214330 its reverse (3341232), we get a palindrome (26555562).

The spelling of 23214330 in words is "twenty-three million, two hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 127 135 254 270 381 635 677 762 1143 1270 1354 1905 2031 2286 3385 3429 3810 4062 5715 6093 6770 6858 10155 11430 12186 17145 18279 20310 30465 34290 36558 60930 85979 91395 171958 182790 257937 429895 515874 773811 859790 1289685 1547622 2321433 2579370 3869055 4642866 7738110 11607165 23214330