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245012500 = 2255171153
BaseRepresentation
bin11101001101010…
…01100000010100
3122002000220222001
432212221200110
51000210400000
640151245044
76033400105
oct1646514024
9562026861
10245012500
11116337577
126a079784
133b9b7515
142477c3ac
151679b46a
hexe9a9814

245012500 has 72 divisors (see below), whose sum is σ = 567948024. Its totient is φ = 92160000.

The previous prime is 245012477. The next prime is 245012513. The reversal of 245012500 is 5210542.

It can be written as a sum of positive squares in 12 ways, for example, as 217680516 + 27331984 = 14754^2 + 5228^2 .

It is a super-2 number, since 2×2450125002 = 120062250312500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211924 + ... + 213076.

It is an arithmetic number, because the mean of its divisors is an integer number (7888167).

Almost surely, 2245012500 is an apocalyptic number.

245012500 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 245012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283974012).

245012500 is an abundant number, since it is smaller than the sum of its proper divisors (322935524).

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

245012500 is a wasteful number, since it uses less digits than its factorization.

245012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 245012500 is about 15652.8751352587. The cubic root of 245012500 is about 625.7431160954.

The spelling of 245012500 in words is "two hundred forty-five million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1153 1250 1700 2125 2306 2500 3125 4250 4612 5765 6250 8500 10625 11530 12500 19601 21250 23060 28825 39202 42500 53125 57650 78404 98005 106250 115300 144125 196010 212500 288250 392020 490025 576500 720625 980050 1441250 1960100 2450125 2882500 3603125 4900250 7206250 9800500 12250625 14412500 24501250 49002500 61253125 122506250 245012500