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226668144 = 24313734469
BaseRepresentation
bin11011000001010…
…10111001110000
3120210111221020110
431200222321300
5431011340034
634254141320
75421435033
oct1540527160
9523457213
10226668144
11106a4814a
1263ab1840
1337c63881
142216501a
1514d75de9
hexd82ae70

226668144 has 40 divisors (see below), whose sum is σ = 589850640. Its totient is φ = 75002368.

The previous prime is 226668109. The next prime is 226668163. The reversal of 226668144 is 441866622.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10659 + ... + 23810.

It is an arithmetic number, because the mean of its divisors is an integer number (14746266).

Almost surely, 2226668144 is an apocalyptic number.

226668144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

226668144 is an abundant number, since it is smaller than the sum of its proper divisors (363182496).

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

226668144 is a wasteful number, since it uses less digits than its factorization.

226668144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34617 (or 34611 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 226668144 is about 15055.5021171663. The cubic root of 226668144 is about 609.7196095580.

The spelling of 226668144 in words is "two hundred twenty-six million, six hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 137 274 411 548 822 1096 1644 2192 3288 6576 34469 68938 103407 137876 206814 275752 413628 551504 827256 1654512 4722253 9444506 14166759 18889012 28333518 37778024 56667036 75556048 113334072 226668144