Search a number
-
+
23885702500 = 22541122812
BaseRepresentation
bin10110001111101100…
…101110010101100100
32021122122011102000011
4112033230232111210
5342404214440000
614550053300004
71503624056422
oct261754562544
967578142004
1023885702500
11a147946900
124767334604
13233871ab9a
1412283a6112
1594be652ba
hex58fb2e564

23885702500 has 135 divisors (see below), whose sum is σ = 57618456973. Its totient is φ = 8654800000.

The previous prime is 23885702497. The next prime is 23885702507. The reversal of 23885702500 is 520758832.

The square root of 23885702500 is 154550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 14412962916 + 9472739584 = 120054^2 + 97328^2 .

It is not an unprimeable number, because it can be changed into a prime (23885702507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85002360 + ... + 85002640.

Almost surely, 223885702500 is an apocalyptic number.

23885702500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23885702500 is the 154550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23885702500

23885702500 is an abundant number, since it is smaller than the sum of its proper divisors (33732754473).

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

23885702500 is an equidigital number, since it uses as much as digits as its factorization.

23885702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 23885702500 in words is "twenty-three billion, eight hundred eighty-five million, seven hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 281 484 500 550 562 605 625 1100 1124 1210 1250 1375 1405 2420 2500 2750 2810 3025 3091 5500 5620 6050 6182 6875 7025 12100 12364 13750 14050 15125 15455 27500 28100 30250 30910 34001 35125 60500 61820 68002 70250 75625 77275 78961 136004 140500 151250 154550 157922 170005 175625 302500 309100 315844 340010 351250 386375 394805 680020 702500 772750 789610 850025 868571 1545500 1579220 1700050 1737142 1931875 1974025 3400100 3474284 3863750 3948050 4250125 4342855 7727500 7896100 8500250 8685710 9554281 9870125 17000500 17371420 19108562 19740250 21250625 21714275 38217124 39480500 42501250 43428550 47771405 49350625 85002500 86857100 95542810 98701250 108571375 191085620 197402500 217142750 238857025 434285500 477714050 542856875 955428100 1085713750 1194285125 2171427500 2388570250 4777140500 5971425625 11942851250 23885702500