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23200103440 = 2451482719559
BaseRepresentation
bin10101100110110101…
…010111110000010000
32012212212002100220101
4111212311113300100
5340003211302230
614354042422144
71450630424353
oct254665276020
965785070811
1023200103440
119925943108
1245b5801954
132259681577
1411a12da29a
1590bb89aca
hex566d57c10

23200103440 has 40 divisors (see below), whose sum is σ = 53946636480. Its totient is φ = 9278941056.

The previous prime is 23200103431. The next prime is 23200103483. The reversal of 23200103440 is 4430100232.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1176381 + ... + 1195939.

It is an arithmetic number, because the mean of its divisors is an integer number (1348665912).

Almost surely, 223200103440 is an apocalyptic number.

23200103440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23200103440 is an abundant number, since it is smaller than the sum of its proper divisors (30746533040).

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

23200103440 is a wasteful number, since it uses less digits than its factorization.

23200103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34399 (or 34393 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 23200103440 its reverse (4430100232), we get a palindrome (27630203672).

The spelling of 23200103440 in words is "twenty-three billion, two hundred million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14827 19559 29654 39118 59308 74135 78236 97795 118616 148270 156472 195590 237232 296540 312944 391180 593080 782360 1186160 1564720 290001293 580002586 1160005172 1450006465 2320010344 2900012930 4640020688 5800025860 11600051720 23200103440