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245991168 = 283411863
BaseRepresentation
bin11101010100110…
…00011100000000
3122010212122110000
432222120130000
51000433204133
640224240000
76044614263
oct1652303400
9563778400
10245991168
11116945895
126a470000
133bc6ab07
1424954cda
15168e1413
hexea98700

245991168 has 90 divisors (see below), whose sum is σ = 733562984. Its totient is φ = 81990144.

The previous prime is 245991149. The next prime is 245991191. The reversal of 245991168 is 861199542.

245991168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14805 + ... + 26667.

Almost surely, 2245991168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366781492).

245991168 is an abundant number, since it is smaller than the sum of its proper divisors (487571816).

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

245991168 is an equidigital number, since it uses as much as digits as its factorization.

245991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891 (or 11868 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 245991168 is about 15684.1055849545. The cubic root of 245991168 is about 626.5751569009.

The spelling of 245991168 in words is "two hundred forty-five million, nine hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 11863 20736 23726 35589 47452 71178 94904 106767 142356 189808 213534 284712 320301 379616 427068 569424 640602 759232 854136 960903 1138848 1281204 1518464 1708272 1921806 2277696 2562408 3036928 3416544 3843612 4555392 5124816 6833088 7687224 9110784 10249632 13666176 15374448 20499264 27332352 30748896 40998528 61497792 81997056 122995584 245991168