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230242242032 = 241117152350527
BaseRepresentation
bin1101011001101110000…
…0011100110111110000
3211000021222101202110122
43112123200130313300
512233014003221112
6253434414145412
722430421523565
oct3263340346760
9730258352418
10230242242032
118971081a260
12387577b2268
131893393b74a
14b20278686c
155ec849d872
hex359b81cdf0

230242242032 has 80 divisors (see below), whose sum is σ = 515623283712. Its totient is φ = 98432732160.

The previous prime is 230242241993. The next prime is 230242242037.

230242242032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2302422420322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230242241992 and 230242242010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230242242037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4531553 + ... + 4582079.

Almost surely, 2230242242032 is an apocalyptic number.

230242242032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230242242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257811641856).

230242242032 is an abundant number, since it is smaller than the sum of its proper divisors (285381041680).

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

230242242032 is a wasteful number, since it uses less digits than its factorization.

230242242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52086 (or 52080 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 230242 and 242032, that added together give a palindrome (472274).

The spelling of 230242242032 in words is "two hundred thirty billion, two hundred forty-two million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 1523 2992 3046 6092 12184 16753 24368 25891 33506 50527 51782 67012 101054 103564 134024 202108 207128 268048 284801 404216 414256 555797 569602 808432 858959 1111594 1139204 1717918 2223188 2278408 3435836 4446376 4556816 6871672 8892752 9448549 13743344 18897098 37794196 75588392 76952621 151176784 153905242 307810484 615620968 846478831 1231241936 1308194557 1692957662 2616389114 3385915324 5232778228 6771830648 10465556456 13543661296 14390140127 20931112912 28780280254 57560560508 115121121016 230242242032