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227812144 = 24713115527
BaseRepresentation
bin11011001010000…
…10001100110000
3120212200001111211
431211002030300
5431304442034
634334445504
75434241230
oct1545021460
9525601454
10227812144
111076596aa
1264363894
13382744b1
1422381cc0
1514eeed64
hexd942330

227812144 has 40 divisors (see below), whose sum is σ = 508324608. Its totient is φ = 96882240.

The previous prime is 227812129. The next prime is 227812153. The reversal of 227812144 is 441218722.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6909 + ... + 22435.

Almost surely, 2227812144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227812144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254162304).

227812144 is an abundant number, since it is smaller than the sum of its proper divisors (280512464).

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

227812144 is a wasteful number, since it uses less digits than its factorization.

227812144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15667 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 227812144 is about 15093.4470549308. The cubic root of 227812144 is about 610.7436455995.

The spelling of 227812144 in words is "two hundred twenty-seven million, eight hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 7336 14672 15527 31054 62108 108689 124216 217378 248432 434756 869512 1739024 2034037 4068074 8136148 14238259 16272296 28476518 32544592 56953036 113906072 227812144