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23313000 = 2335319409
BaseRepresentation
bin101100011101…
…1101001101000
31121212102102110
41120323221220
521432004000
62151402320
7402104634
oct130735150
947772373
1023313000
1112183447
1279833a0
134aa3399
14314bdc4
1520a7850
hex163ba68

23313000 has 128 divisors (see below), whose sum is σ = 76752000. Its totient is φ = 5875200.

The previous prime is 23312999. The next prime is 23313011. The reversal of 23313000 is 31332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 56796 + ... + 57204.

It is an arithmetic number, because the mean of its divisors is an integer number (599625).

Almost surely, 223313000 is an apocalyptic number.

23313000 is a gapful number since it is divisible by the number (20) 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 23313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38376000).

23313000 is an abundant number, since it is smaller than the sum of its proper divisors (53439000).

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

23313000 is a wasteful number, since it uses less digits than its factorization.

23313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 23313000 is about 4828.3537567167. The cubic root of 23313000 is about 285.6709338987.

Adding to 23313000 its reverse (31332), we get a palindrome (23344332).

The spelling of 23313000 in words is "twenty-three million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 409 456 475 500 570 600 750 760 818 950 1000 1140 1227 1425 1500 1636 1900 2045 2280 2375 2454 2850 3000 3272 3800 4090 4750 4908 5700 6135 7125 7771 8180 9500 9816 10225 11400 12270 14250 15542 16360 19000 20450 23313 24540 28500 30675 31084 38855 40900 46626 49080 51125 57000 61350 62168 77710 81800 93252 102250 116565 122700 153375 155420 186504 194275 204500 233130 245400 306750 310840 388550 409000 466260 582825 613500 777100 932520 971375 1165650 1227000 1554200 1942750 2331300 2914125 3885500 4662600 5828250 7771000 11656500 23313000