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233534428516 = 22472532972
BaseRepresentation
bin1101100101111110111…
…1001001010101100100
3211022210102020011022101
43121133233021111210
512311234303203031
6255141221141444
722605125614114
oct3313757112544
9738712204271
10233534428516
1190050107734
123931625a884
1319039a1649c
14b435acb044
15611c50b361
hex365fbc9564

233534428516 has 81 divisors (see below), whose sum is σ = 430025729259. Its totient is φ = 110970582528.

The previous prime is 233534428499. The next prime is 233534428531. The reversal of 233534428516 is 615824435332.

The square root of 233534428516 is 483254.

It is a perfect power (a square), and thus also a powerful number.

233534428516 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7301018916 + 226233409600 = 85446^2 + 475640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2407571380 + ... + 2407571476.

Almost surely, 2233534428516 is an apocalyptic number.

233534428516 is the 483254-th square number.

It is an amenable number.

233534428516 is a deficient number, since it is larger than the sum of its proper divisors (196491300743).

233534428516 is an frugal number, since it uses more digits than its factorization.

233534428516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 46.

The spelling of 233534428516 in words is "two hundred thirty-three billion, five hundred thirty-four million, four hundred twenty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 47 53 94 97 106 188 194 212 388 2209 2491 2809 4418 4559 4982 5141 5618 8836 9118 9409 9964 10282 11236 18236 18818 20564 37636 117077 132023 214273 234154 241627 264046 272473 428546 442223 468308 483254 498677 528092 544946 857092 884446 966508 997354 1089892 1768892 1994708 6205081 11356469 12410162 12806231 20784481 22712938 23437819 24820324 25612462 26429881 41568962 45425876 46875638 51224924 52859762 83137924 93751276 105719524 601892857 1101577493 1203785714 1242204407 2203154986 2407571428 2484408814 4406309972 4968817628 58383607129 116767214258 233534428516