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42226338 = 23721121187
BaseRepresentation
bin1010000100010…
…1001010100010
32221110022122110
42201011022202
541302220323
64105020150
71021626600
oct241051242
987408573
1042226338
1121921300
1212184656
138995ccb
145872870
153a91793
hex28452a2

42226338 has 72 divisors (see below), whose sum is σ = 108074736. Its totient is φ = 10958640.

The previous prime is 42226307. The next prime is 42226397. The reversal of 42226338 is 83362224.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34981 + ... + 36167.

It is an arithmetic number, because the mean of its divisors is an integer number (1501038).

Almost surely, 242226338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42226338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54037368).

42226338 is an abundant number, since it is smaller than the sum of its proper divisors (65848398).

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

42226338 is a wasteful number, since it uses less digits than its factorization.

42226338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1210 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 42226338 is about 6498.1795912394. The cubic root of 42226338 is about 348.2259564387.

The spelling of 42226338 in words is "forty-two million, two hundred twenty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 363 462 539 726 847 1078 1187 1617 1694 2374 2541 3234 3561 5082 5929 7122 8309 11858 13057 16618 17787 24927 26114 35574 39171 49854 58163 78342 91399 116326 143627 174489 182798 274197 287254 348978 430881 548394 639793 861762 1005389 1279586 1919379 2010778 3016167 3838758 6032334 7037723 14075446 21113169 42226338