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23045000 = 235411419
BaseRepresentation
bin101011111101…
…0001110001000
31121100210210112
41113322032020
521344420000
62141533452
7366610406
oct127721610
947323715
1023045000
1112010060
127874288
134a0b3c4
1430bc476
152053235
hex15fa388

23045000 has 80 divisors (see below), whose sum is σ = 59043600. Its totient is φ = 8360000.

The previous prime is 23044981. The next prime is 23045003. The reversal of 23045000 is 54032.

It is not an unprimeable number, because it can be changed into a prime (23045003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 54791 + ... + 55209.

It is an arithmetic number, because the mean of its divisors is an integer number (738045).

Almost surely, 223045000 is an apocalyptic number.

23045000 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 23045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29521800).

23045000 is an abundant number, since it is smaller than the sum of its proper divisors (35998600).

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

23045000 is a wasteful number, since it uses less digits than its factorization.

23045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 23045000 is about 4800.5208050794. The cubic root of 23045000 is about 284.5720467437.

Adding to 23045000 its reverse (54032), we get a palindrome (23099032).

The spelling of 23045000 in words is "twenty-three million, forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 419 440 500 550 625 838 1000 1100 1250 1375 1676 2095 2200 2500 2750 3352 4190 4609 5000 5500 6875 8380 9218 10475 11000 13750 16760 18436 20950 23045 27500 36872 41900 46090 52375 55000 83800 92180 104750 115225 184360 209500 230450 261875 419000 460900 523750 576125 921800 1047500 1152250 2095000 2304500 2880625 4609000 5761250 11522500 23045000