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230133110208 = 26341138121169
BaseRepresentation
bin1101011001010100000…
…0001001010111000000
3211000000101001021202020
43112111000021113000
512232303034011313
6253415515121440
722424625106161
oct3262500112700
9730011037666
10230133110208
1189665160971
1238727143280
131891714b5c1
14b1d2099768
155ebdae3323
hex35950095c0

230133110208 has 112 divisors (see below), whose sum is σ = 624226071840. Its totient is φ = 74782310400.

The previous prime is 230133110197. The next prime is 230133110329. The reversal of 230133110208 is 802011331032.

It is a super-2 number, since 2×2301331102082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 10860648 + ... + 10881816.

It is an arithmetic number, because the mean of its divisors is an integer number (5573447070).

Almost surely, 2230133110208 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 230133110208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312113035920).

230133110208 is an abundant number, since it is smaller than the sum of its proper divisors (394092961632).

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

230133110208 is a wasteful number, since it uses less digits than its factorization.

230133110208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22606 (or 22596 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 230133110208 in words is "two hundred thirty billion, one hundred thirty-three million, one hundred ten thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1381 1968 2624 2762 3936 4143 5524 7872 8286 11048 16572 21169 22096 33144 42338 44192 56621 63507 66288 84676 88384 113242 127014 132576 169352 169863 226484 254028 265152 338704 339726 452968 508056 677408 679452 867929 905936 1016112 1354816 1358904 1735858 1811872 2032224 2603787 2717808 3471716 3623744 4064448 5207574 5435616 6943432 10415148 10871232 13886864 20830296 27773728 29234389 41660592 55547456 58468778 83321184 87703167 116937556 166642368 175406334 233875112 350812668 467750224 701625336 935500448 1198609949 1403250672 1871000896 2397219898 2806501344 3595829847 4794439796 5613002688 7191659694 9588879592 14383319388 19177759184 28766638776 38355518368 57533277552 76711036736 115066555104 230133110208