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422302438305 = 325112957151521
BaseRepresentation
bin1100010010100110010…
…11111101001110100001
31111101000222112121211100
412021103023331032201
523404333411011210
6522000354505013
742340022333016
oct6112313751641
91441028477740
10422302438305
111531087983a0
1269a18295169
1330a91032bb7
141662218d70d
15aeb98685c0
hex62532fd3a1

422302438305 has 96 divisors (see below), whose sum is σ = 827533998720. Its totient is φ = 197342208000.

The previous prime is 422302438237. The next prime is 422302438307. The reversal of 422302438305 is 503834203224.

422302438305 is a `hidden beast` number, since 4 + 2 + 2 + 302 + 43 + 8 + 305 = 666.

422302438305 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 422302438305 - 220 = 422301389729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 422302438305.

It is not an unprimeable number, because it can be changed into a prime (422302438307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8170945 + ... + 8222465.

It is an arithmetic number, because the mean of its divisors is an integer number (8620145820).

Almost surely, 2422302438305 is an apocalyptic number.

422302438305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

422302438305 is a deficient number, since it is larger than the sum of its proper divisors (405231560415).

422302438305 is a wasteful number, since it uses less digits than its factorization.

422302438305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52143 (or 52140 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 422302438305 in words is "four hundred twenty-two billion, three hundred two million, four hundred thirty-eight thousand, three hundred five".

Divisors: 1 3 5 9 11 15 29 33 45 55 87 99 145 165 261 319 435 495 571 957 1305 1595 1713 2855 2871 4785 5139 6281 8565 14355 16559 18843 25695 31405 49677 51521 56529 82795 94215 149031 154563 182149 248385 257605 282645 463689 546447 566731 745155 772815 910745 1494109 1639341 1700193 2318445 2732235 2833655 4482327 5100579 7470545 8196705 8500965 13446981 16435199 22411635 25502895 29418491 49305597 67234905 82175995 88255473 147092455 147916791 246527985 264766419 323603401 441277365 739583955 853136239 970810203 1323832095 1618017005 2559408717 2912430609 4265681195 4854051015 7678226151 9384498629 12797043585 14562153045 28153495887 38391130755 46922493145 84460487661 140767479435 422302438305