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23229024 = 2537132659
BaseRepresentation
bin101100010011…
…1001001100000
31121201011020020
41120213021200
521421312044
62145513440
7401305050
oct130471140
947634206
1023229024
1112126345
127942880
134a740b0
143129560
15208ca19
hex1627260

23229024 has 96 divisors (see below), whose sum is σ = 75075840. Its totient is φ = 6124032.

The previous prime is 23229023. The next prime is 23229049. The reversal of 23229024 is 42092232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23228985 and 23229003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23229023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7407 + ... + 10065.

It is an arithmetic number, because the mean of its divisors is an integer number (782040).

Almost surely, 223229024 is an apocalyptic number.

23229024 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 23229024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37537920).

23229024 is an abundant number, since it is smaller than the sum of its proper divisors (51846816).

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

23229024 is a wasteful number, since it uses less digits than its factorization.

23229024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23229024 is about 4819.6497798077. The cubic root of 23229024 is about 285.3275151423.

The spelling of 23229024 in words is "twenty-three million, two hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2659 2912 4368 5318 7977 8736 10636 15954 18613 21272 31908 34567 37226 42544 55839 63816 69134 74452 85088 103701 111678 127632 138268 148904 207402 223356 241969 255264 276536 297808 414804 446712 483938 553072 595616 725907 829608 893424 967876 1106144 1451814 1659216 1786848 1935752 2903628 3318432 3871504 5807256 7743008 11614512 23229024