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245236224 = 293434779
BaseRepresentation
bin11101001111000…
…00001000000000
3122002110021212010
432213200020000
51000240024344
640200132520
76035321262
oct1647401000
9562407763
10245236224
1111647a672
126a167140
133ba652bc
14247d9b32
15167e28b9
hexe9e0200

245236224 has 160 divisors (see below), whose sum is σ = 691384320. Its totient is φ = 77156352.

The previous prime is 245236213. The next prime is 245236241. The reversal of 245236224 is 422632542.

245236224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245236191 and 245236200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3104217 + ... + 3104295.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2245236224 is an apocalyptic number.

245236224 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 245236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

245236224 is an abundant number, since it is smaller than the sum of its proper divisors (446148096).

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

245236224 is an equidigital number, since it uses as much as digits as its factorization.

245236224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 245236224 is about 15660.0199233590. The cubic root of 245236224 is about 625.9335161287.

Adding to 245236224 its reverse (422632542), we get a palindrome (667868766).

The spelling of 245236224 in words is "two hundred forty-five million, two hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 47 48 64 79 86 94 96 128 129 141 158 172 188 192 237 256 258 282 316 344 376 384 474 512 516 564 632 688 752 768 948 1032 1128 1264 1376 1504 1536 1896 2021 2064 2256 2528 2752 3008 3397 3713 3792 4042 4128 4512 5056 5504 6016 6063 6794 7426 7584 8084 8256 9024 10112 10191 11008 11139 12032 12126 13588 14852 15168 16168 16512 18048 20224 20382 22016 22278 24064 24252 27176 29704 30336 32336 33024 36096 40448 40764 44556 48504 54352 59408 60672 64672 66048 72192 81528 89112 97008 108704 118816 121344 129344 159659 163056 178224 194016 217408 237632 258688 319318 326112 356448 388032 434816 475264 478977 517376 638636 652224 712896 776064 869632 950528 957954 1034752 1277272 1304448 1425792 1552128 1739264 1901056 1915908 2554544 2608896 2851584 3104256 3831816 5109088 5217792 5703168 7663632 10218176 15327264 20436352 30654528 40872704 61309056 81745408 122618112 245236224