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23253405200 = 245267818573
BaseRepresentation
bin10101101010000000…
…101100111000010000
32020000120101101011122
4111222000230320100
5340110332431300
614403225101412
71452145453154
oct255200547020
966016341148
1023253405200
119952a39553
12460b627868
13226772477c
1411a8413064
159116b7c85
hex56a02ce10

23253405200 has 60 divisors (see below), whose sum is σ = 55881062148. Its totient is φ = 9298905600.

The previous prime is 23253405199. The next prime is 23253405221. The reversal of 23253405200 is 250435232.

It can be written as a sum of positive squares in 6 ways, for example, as 1596162304 + 21657242896 = 39952^2 + 147164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23253405200.

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 11 ways as a sum of consecutive naturals, for example, 2708114 + ... + 2716686.

Almost surely, 223253405200 is an apocalyptic number.

23253405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23253405200 is an abundant number, since it is smaller than the sum of its proper divisors (32627656948).

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

23253405200 is a wasteful number, since it uses less digits than its factorization.

23253405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15372 (or 15361 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The spelling of 23253405200 in words is "twenty-three billion, two hundred fifty-three million, four hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6781 8573 13562 17146 27124 33905 34292 42865 54248 67810 68584 85730 108496 135620 137168 169525 171460 214325 271240 339050 342920 428650 542480 678100 685840 857300 1356200 1714600 2712400 3429200 58133513 116267026 232534052 290667565 465068104 581335130 930136208 1162670260 1453337825 2325340520 2906675650 4650681040 5813351300 11626702600 23253405200