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8972226 = 23217109269
BaseRepresentation
bin100010001110…
…011111000010
3121212211120200
4202032133002
54244102401
6520150030
7136156044
oct42163702
917784520
108972226
115078a6a
123008316
131b21b13
141297a94
15bc3686
hex88e7c2

8972226 has 48 divisors (see below), whose sum is σ = 20849400. Its totient is φ = 2778624.

The previous prime is 8972221. The next prime is 8972261. The reversal of 8972226 is 6222798.

It can be written as a sum of positive squares in 4 ways, for example, as 7568001 + 1404225 = 2751^2 + 1185^2 .

It is a d-powerful number, because it can be written as 8 + 95 + 72 + 23 + 219 + 223 + 63 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8972221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33220 + ... + 33488.

Almost surely, 28972226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8972226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10424700).

8972226 is an abundant number, since it is smaller than the sum of its proper divisors (11877174).

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

8972226 is a wasteful number, since it uses less digits than its factorization.

8972226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 8972226 is about 2995.3674232054. The cubic root of 8972226 is about 207.7941905327.

The spelling of 8972226 in words is "eight million, nine hundred seventy-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 269 306 327 538 654 807 981 1614 1853 1962 2421 3706 4573 4842 5559 9146 11118 13719 16677 27438 29321 33354 41157 58642 82314 87963 175926 263889 498457 527778 996914 1495371 2990742 4486113 8972226