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204114023002232 = 23721673898015317
BaseRepresentation
bin101110011010001111111111…
…110101011011000001111000
3222202201002222012201102110022
4232122033333311123001320
5203223201004342032412
62002040404312110012
760664515524666600
oct5632177765330170
9882632865642408
10204114023002232
115a0452a881a162
121aa867b9395308
1389b7b3cb9a9b5
143859258567c00
15188e71a40ca72
hexb9a3ffd5b078

204114023002232 has 96 divisors (see below), whose sum is σ = 449014908232800. Its totient is φ = 86730079451904.

The previous prime is 204114023002229. The next prime is 204114023002237. The reversal of 204114023002232 is 232200320411402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204114023002237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21457838 + ... + 29473154.

It is an arithmetic number, because the mean of its divisors is an integer number (4677238627425).

Almost surely, 2204114023002232 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 204114023002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224507454116400).

204114023002232 is an abundant number, since it is smaller than the sum of its proper divisors (244900885230568).

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

204114023002232 is a wasteful number, since it uses less digits than its factorization.

204114023002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015893 (or 8015882 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 204114023002232 its reverse (232200320411402), we get a palindrome (436314343413634).

The spelling of 204114023002232 in words is "two hundred four trillion, one hundred fourteen billion, twenty-three million, two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 167 196 334 389 392 668 778 1169 1336 1556 2338 2723 3112 4676 5446 8183 9352 10892 16366 19061 21784 32732 38122 64963 65464 76244 129926 152488 259852 454741 519704 909482 1818964 3183187 3637928 6366374 8015317 12732748 16030634 25465496 32061268 56107219 64122536 112214438 224428876 392750533 448857752 785501066 1338557939 1571002132 2677115878 3117958313 3142004264 5354231756 6235916626 9369905573 10708463512 12471833252 18739811146 21825708191 24943666504 37479622292 43651416382 65589339011 74959244584 87302832764 131178678022 152779957337 174605665528 262357356044 305559914674 520699038271 524714712088 611119829348 1041398076542 1222239658696 2082796153084 3644893267897 4165592306168 7289786535794 14579573071588 25514252875279 29159146143176 51028505750558 102057011501116 204114023002232