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84977226 = 23223832473
BaseRepresentation
bin1010001000010…
…10011001001010
312220220021211200
411010022121022
5133223232401
612233205030
72051203005
oct504123112
9186807750
1084977226
1143a70714
1224560776
13147b39a9
14b40053c
1576d8686
hex510a64a

84977226 has 48 divisors (see below), whose sum is σ = 194515776. Its totient is φ = 26756928.

The previous prime is 84977201. The next prime is 84977227. The reversal of 84977226 is 62277948.

It is a super-2 number, since 2×849772262 = 14442257877310152, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84977227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33126 + ... + 35598.

It is an arithmetic number, because the mean of its divisors is an integer number (4052412).

Almost surely, 284977226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84977226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97257888).

84977226 is an abundant number, since it is smaller than the sum of its proper divisors (109538550).

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

84977226 is a wasteful number, since it uses less digits than its factorization.

84977226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2584 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 84977226 is about 9218.3092809907. The cubic root of 84977226 is about 439.6436957087.

The spelling of 84977226 in words is "eighty-four million, nine hundred seventy-seven thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 23 46 69 83 138 166 207 249 414 498 747 1494 1909 2473 3818 4946 5727 7419 11454 14838 17181 22257 34362 44514 56879 113758 170637 205259 341274 410518 511911 615777 1023822 1231554 1847331 3694662 4720957 9441914 14162871 28325742 42488613 84977226