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245252301 = 3728320101
BaseRepresentation
bin11101001111001…
…00000011001101
3122002111002220120
432213210003031
51000241033201
640200335153
76035416200
oct1647440315
9562432816
10245252301
11116490758
126a1744b9
133ba6c708
1424801937
15167e7536
hexe9e40cd

245252301 has 24 divisors (see below), whose sum is σ = 384993504. Its totient is φ = 138448800.

The previous prime is 245252299. The next prime is 245252309. The reversal of 245252301 is 103252542.

245252301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245252301 - 21 = 245252299 is a prime.

It is a super-3 number, since 3×2452523013 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245252309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2151 + ... + 22251.

It is an arithmetic number, because the mean of its divisors is an integer number (16041396).

Almost surely, 2245252301 is an apocalyptic number.

245252301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

245252301 is a deficient number, since it is larger than the sum of its proper divisors (139741203).

245252301 is a wasteful number, since it uses less digits than its factorization.

245252301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201 (or 20194 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 245252301 is about 15660.5332284696. The cubic root of 245252301 is about 625.9471939792.

The spelling of 245252301 in words is "two hundred forty-five million, two hundred fifty-two thousand, three hundred one".

Divisors: 1 3 7 21 49 83 147 249 581 1743 4067 12201 20101 60303 140707 422121 984949 1668383 2954847 5005149 11678681 35036043 81750767 245252301