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233282238049 = 7498572
BaseRepresentation
bin1101100101000010110…
…1000111011001100001
3211022010211200120000201
43121100231013121201
512310230223104144
6255100211545201
722565644210000
oct3312055073141
9738124616021
10233282238049
118aa30818263
12392658bb201
1318cc96b7a63
14b410400c37
1561052e31d4
hex3650b47661

233282238049 has 15 divisors (see below), whose sum is σ = 272174029907. Its totient is φ = 199935918336.

The previous prime is 233282238041. The next prime is 233282238121. The reversal of 233282238049 is 940832282332.

The square root of 233282238049 is 482993.

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

It can be written as a sum of positive squares in only one way, i.e., 86004360225 + 147277877824 = 293265^2 + 383768^2 .

It is not a de Polignac number, because 233282238049 - 23 = 233282238041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233282238041) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23661729 + ... + 23671585.

Almost surely, 2233282238049 is an apocalyptic number.

233282238049 is the 482993-rd square number.

233282238049 is the 241497-th centered octagonal number.

It is an amenable number.

233282238049 is a deficient number, since it is larger than the sum of its proper divisors (38891791858).

233282238049 is an frugal number, since it uses more digits than its factorization.

233282238049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19742 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 233282238049 in words is "two hundred thirty-three billion, two hundred eighty-two million, two hundred thirty-eight thousand, forty-nine".

Divisors: 1 7 49 343 2401 9857 68999 482993 3380951 23666657 97160449 680123143 4760862001 33326034007 233282238049