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245617216 = 26133189107
BaseRepresentation
bin11101010001111…
…01001001000000
3122010011122110221
432220331021000
51000334222331
640212232424
76041466115
oct1650751100
9563148427
10245617216
1111670a939
126a30b714
133bb69840
142489890c
151686a711
hexea3d240

245617216 has 112 divisors (see below), whose sum is σ = 553029120. Its totient is φ = 107458560.

The previous prime is 245617189. The next prime is 245617219. The reversal of 245617216 is 612716542.

Its product of digits (20160) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (245617219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2295435 + ... + 2295541.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2245617216 is an apocalyptic number.

245617216 is a gapful number since it is divisible by the number (26) 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 245617216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276514560).

245617216 is an abundant number, since it is smaller than the sum of its proper divisors (307411904).

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

245617216 is a wasteful number, since it uses less digits than its factorization.

245617216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 245617216 is about 15672.1796824819. The cubic root of 245617216 is about 626.2574925631.

The spelling of 245617216 in words is "two hundred forty-five million, six hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 89 104 107 124 178 208 214 248 356 403 416 428 496 712 806 832 856 992 1157 1391 1424 1612 1712 1984 2314 2759 2782 2848 3224 3317 3424 4628 5518 5564 5696 6448 6634 6848 9256 9523 11036 11128 12896 13268 18512 19046 22072 22256 25792 26536 35867 37024 38092 43121 44144 44512 53072 71734 74048 76184 86242 88288 89024 106144 123799 143468 152368 172484 176576 212288 247598 286936 295213 304736 344968 495196 573872 590426 609472 689936 990392 1147744 1180852 1379872 1980784 2295488 2361704 2759744 3837769 3961568 4723408 7675538 7923136 9446816 15351076 18893632 30702152 61404304 122808608 245617216