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2230858746 = 234109126337
BaseRepresentation
bin1000010011111000…
…0011001111111010
312202110202100220000
42010332003033322
514032044434441
61005211013430
7106165662234
oct20476031772
95673670800
102230858746
11a45297216
1252313a276
1329724747c
141723d1254
15d0cb52b6
hex84f833fa

2230858746 has 40 divisors (see below), whose sum is σ = 5044676340. Its totient is φ = 736791552.

The previous prime is 2230858741. The next prime is 2230858771. The reversal of 2230858746 is 6478580322.

2230858746 is a `hidden beast` number, since 2 + 23 + 0 + 8 + 587 + 46 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1988714025 + 242144721 = 44595^2 + 15561^2 .

It is a super-3 number, since 3×22308587463 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2230858741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45511 + ... + 80826.

Almost surely, 22230858746 is an apocalyptic number.

2230858746 is an abundant number, since it is smaller than the sum of its proper divisors (2813817594).

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

2230858746 is a wasteful number, since it uses less digits than its factorization.

2230858746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126460 (or 126451 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2230858746 is about 47231.9674161473. The cubic root of 2230858746 is about 1306.6442374181.

The spelling of 2230858746 in words is "two billion, two hundred thirty million, eight hundred fifty-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 327 654 981 1962 2943 5886 8829 17658 126337 252674 379011 758022 1137033 2274066 3411099 6822198 10233297 13770733 20466594 27541466 41312199 82624398 123936597 247873194 371809791 743619582 1115429373 2230858746