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245441664 = 273513607
BaseRepresentation
bin11101010000100…
…10010010000000
3122002211201200000
432220102102000
51000313113124
640204400000
76040135236
oct1650222200
9562751600
10245441664
111165aaa56
126a246000
133bb07970
1424850956
15168336c9
hexea12480

245441664 has 192 divisors, whose sum is σ = 790083840. Its totient is φ = 75396096.

The previous prime is 245441641. The next prime is 245441747. The reversal of 245441664 is 466144542.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2454416642 = 120483220854177792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 404049 + ... + 404655.

It is an arithmetic number, because the mean of its divisors is an integer number (4115020).

Almost surely, 2245441664 is an apocalyptic number.

245441664 is a gapful number since it is divisible by the number (24) 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 245441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395041920).

245441664 is an abundant number, since it is smaller than the sum of its proper divisors (544642176).

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

245441664 is an equidigital number, since it uses as much as digits as its factorization.

245441664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 625 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 245441664 is about 15666.5779288267. The cubic root of 245441664 is about 626.1082536234.

The spelling of 245441664 in words is "two hundred forty-five million, four hundred forty-one thousand, six hundred sixty-four".