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23228424 = 2333313469
BaseRepresentation
bin101100010011…
…1000000001000
31121201010102000
41120213000020
521421302144
62145511000
7401303232
oct130470010
947633360
1023228424
111212594a
127942460
134a73a3b
143129252
15208c769
hex1627008

23228424 has 64 divisors (see below), whose sum is σ = 66624000. Its totient is φ = 7490880.

The previous prime is 23228383. The next prime is 23228437. The reversal of 23228424 is 42482232.

23228424 is a `hidden beast` number, since 232 + 2 + 8 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 4962 + ... + 8430.

It is an arithmetic number, because the mean of its divisors is an integer number (1041000).

Almost surely, 223228424 is an apocalyptic number.

23228424 is a gapful number since it is divisible by the number (24) 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 23228424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33312000).

23228424 is an abundant number, since it is smaller than the sum of its proper divisors (43395576).

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

23228424 is a wasteful number, since it uses less digits than its factorization.

23228424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3505 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 23228424 is about 4819.5875342191. The cubic root of 23228424 is about 285.3250584745.

The spelling of 23228424 in words is "twenty-three million, two hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 3469 6696 6938 10407 13876 20814 27752 31221 41628 62442 83256 93663 107539 124884 187326 215078 249768 322617 374652 430156 645234 749304 860312 967851 1290468 1935702 2580936 2903553 3871404 5807106 7742808 11614212 23228424