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226404404622 = 232112990110499
BaseRepresentation
bin1101001011011011000…
…0010000110110001110
3210122101111211102021100
43102312300100312032
512202134011421442
6252001520043530
722233340454334
oct3226660206616
9718344742240
10226404404622
1188021425200
1237a664635a6
13184717b6c36
14ad5aba5b54
155d515ab84c
hex34b6c10d8e

226404404622 has 72 divisors (see below), whose sum is σ = 539297577000. Its totient is φ = 68593932000.

The previous prime is 226404404599. The next prime is 226404404623.

226404404622 is a `hidden beast` number, since 2 + 2 + 640 + 4 + 4 + 0 + 4 + 6 + 2 + 2 = 666.

226404404622 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226404404623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21559129 + ... + 21569627.

It is an arithmetic number, because the mean of its divisors is an integer number (7490244125).

Almost surely, 2226404404622 is an apocalyptic number.

226404404622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

226404404622 is an abundant number, since it is smaller than the sum of its proper divisors (312893172378).

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

226404404622 is a wasteful number, since it uses less digits than its factorization.

226404404622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20430 (or 20416 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 226404404622 in words is "two hundred twenty-six billion, four hundred four million, four hundred four thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 9901 10499 19802 20998 29703 31497 59406 62994 89109 94491 108911 115489 178218 188982 217822 230978 326733 346467 653466 692934 980199 1039401 1198021 1270379 1960398 2078802 2396042 2540758 3594063 3811137 7188126 7622274 10782189 11433411 21564378 22866822 103950599 207901198 311851797 623703594 935555391 1143456589 1871110782 2286913178 3430369767 6860739534 10291109301 12578022479 20582218602 25156044958 37734067437 75468134874 113202202311 226404404622