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226046087442 = 2327422872
BaseRepresentation
bin1101001010000101100…
…1011001000100010010
3210121110112121000111200
43102201121121010102
512200420244244232
6251502200052030
722221430020000
oct3224131310422
9717415530450
10226046087442
118795813a1aa
1237986464016
13184154ab136
14ad25371a70
155d2edcd77c
hex34a1659112

226046087442 has 90 divisors (see below), whose sum is σ = 571610218023. Its totient is φ = 64556356536.

The previous prime is 226046087437. The next prime is 226046087447. The reversal of 226046087442 is 244780640622.

226046087442 is a `hidden beast` number, since 22 + 60 + 460 + 8 + 74 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (226046087437) and next prime (226046087447).

It can be written as a sum of positive squares in only one way, i.e., 113023043721 + 113023043721 = 336189^2 + 336189^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336189.

It is not an unprimeable number, because it can be changed into a prime (226046087447) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 98838423 + ... + 98840709.

Almost surely, 2226046087442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226046087442

226046087442 is an abundant number, since it is smaller than the sum of its proper divisors (345564130581).

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

226046087442 is an frugal number, since it uses more digits than its factorization.

226046087442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 226046087442 in words is "two hundred twenty-six billion, forty-six million, eighty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 2287 2401 3087 4574 4802 6174 6861 7203 13722 14406 16009 20583 21609 32018 41166 43218 48027 96054 112063 144081 224126 288162 336189 672378 784441 1008567 1568882 2017134 2353323 4706646 5230369 5491087 7059969 10460738 10982174 14119938 15691107 16473261 31382214 32946522 36612583 47073321 49419783 73225166 94146642 98839566 109837749 219675498 256288081 329513247 512576162 659026494 768864243 1537728486 1794016567 2306592729 3588033134 4613185458 5382049701 10764099402 12558115969 16146149103 25116231938 32292298206 37674347907 75348695814 113023043721 226046087442