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233122530 = 235171992297
BaseRepresentation
bin11011110010100…
…10101011100010
3121020122211222210
431321102223202
5434134410110
635044342550
75530336344
oct1571225342
9536584883
10233122530
1110a656453
12660a4a56
13393b3634
1422d65294
15156ed520
hexde52ae2

233122530 has 64 divisors (see below), whose sum is σ = 595641600. Its totient is φ = 58189824.

The previous prime is 233122529. The next prime is 233122531. The reversal of 233122530 is 35221332.

It is an interprime number because it is at equal distance from previous prime (233122529) and next prime (233122531).

It is a super-2 number, since 2×2331225302 = 108692227987201800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233122497 and 233122506.

It is not an unprimeable number, because it can be changed into a prime (233122531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100342 + ... + 102638.

It is an arithmetic number, because the mean of its divisors is an integer number (9306900).

Almost surely, 2233122530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233122530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297820800).

233122530 is an abundant number, since it is smaller than the sum of its proper divisors (362519070).

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

233122530 is a wasteful number, since it uses less digits than its factorization.

233122530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 233122530 is about 15268.3505985421. The cubic root of 233122530 is about 615.4527962958.

Adding to 233122530 its reverse (35221332), we get a palindrome (268343862).

The spelling of 233122530 in words is "two hundred thirty-three million, one hundred twenty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 199 255 398 510 597 995 1194 1990 2297 2985 3383 4594 5970 6766 6891 10149 11485 13782 16915 20298 22970 33830 34455 39049 50745 68910 78098 101490 117147 195245 234294 390490 457103 585735 914206 1171470 1371309 2285515 2742618 4571030 6856545 7770751 13713090 15541502 23312253 38853755 46624506 77707510 116561265 233122530