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23044313000 = 235337361781
BaseRepresentation
bin10101011101100011…
…000100111110101000
32012110222221101121002
4111131203010332220
5334143321004000
614330355334132
71444026300002
oct253543047650
965428841532
1023044313000
119855a06485
1245715b1348
132233305b87
141188745372
158ed1648d5
hex55d8c4fa8

23044313000 has 64 divisors (see below), whose sum is σ = 54069135120. Its totient is φ = 9192864000.

The previous prime is 23044312997. The next prime is 23044313053. The reversal of 23044313000 is 31344032.

It can be written as a sum of positive squares in 8 ways, for example, as 429567076 + 22614745924 = 20726^2 + 150382^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 342110 + ... + 403890.

Almost surely, 223044313000 is an apocalyptic number.

23044313000 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 23044313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27034567560).

23044313000 is an abundant number, since it is smaller than the sum of its proper divisors (31024822120).

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

23044313000 is a wasteful number, since it uses less digits than its factorization.

23044313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62175 (or 62161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23044313000 its reverse (31344032), we get a palindrome (23075657032).

The spelling of 23044313000 in words is "twenty-three billion, forty-four million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 373 500 746 1000 1492 1865 2984 3730 7460 9325 14920 18650 37300 46625 61781 74600 93250 123562 186500 247124 308905 373000 494248 617810 1235620 1544525 2471240 3089050 6178100 7722625 12356200 15445250 23044313 30890500 46088626 61781000 92177252 115221565 184354504 230443130 460886260 576107825 921772520 1152215650 2304431300 2880539125 4608862600 5761078250 11522156500 23044313000