Search a number
-
+
23442110000 = 24548592729
BaseRepresentation
bin10101110101010000…
…100011011000110000
32020111201110120111022
4111311100203120300
5341002140010000
614434045435012
71456626435011
oct256520433060
966451416438
1023442110000
119a3a507231
12466286ba68
13229785580a
1411c54d5008
15923040585
hex575423630

23442110000 has 100 divisors (see below), whose sum is σ = 56842585800. Its totient is φ = 9362496000.

The previous prime is 23442109987. The next prime is 23442110023. The reversal of 23442110000 is 1124432.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8588636 + ... + 8591364.

It is an arithmetic number, because the mean of its divisors is an integer number (568425858).

Almost surely, 223442110000 is an apocalyptic number.

23442110000 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 23442110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28421292900).

23442110000 is an abundant number, since it is smaller than the sum of its proper divisors (33400475800).

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

23442110000 is an equidigital number, since it uses as much as digits as its factorization.

23442110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3616 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 23442110000 its reverse (1124432), we get a palindrome (23443234432).

The spelling of 23442110000 in words is "twenty-three billion, four hundred forty-two million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 859 1000 1250 1718 2000 2500 2729 3436 4295 5000 5458 6872 8590 10000 10916 13645 13744 17180 21475 21832 27290 34360 42950 43664 54580 68225 68720 85900 107375 109160 136450 171800 214750 218320 272900 341125 343600 429500 536875 545800 682250 859000 1073750 1091600 1364500 1705625 1718000 2147500 2344211 2729000 3411250 4295000 4688422 5458000 6822500 8590000 9376844 11721055 13645000 18753688 23442110 27290000 37507376 46884220 58605275 93768440 117210550 187536880 234421100 293026375 468842200 586052750 937684400 1172105500 1465131875 2344211000 2930263750 4688422000 5860527500 11721055000 23442110000