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227790144 = 263597151
BaseRepresentation
bin11011001001111…
…00110101000000
3120212121221100000
431210330311000
5431303241034
634334200000
75434120131
oct1544746500
9525557300
10227790144
1110764411a
1264353000
133826748a
1422377c88
1514ee8599
hexd93cd40

227790144 has 168 divisors, whose sum is σ = 688612288. Its totient is φ = 74649600.

The previous prime is 227790113. The next prime is 227790161. The reversal of 227790144 is 441097722.

227790144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 227790099 and 227790108.

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 23 ways as a sum of consecutive naturals, for example, 1508469 + ... + 1508619.

Almost surely, 2227790144 is an apocalyptic number.

227790144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344306144).

227790144 is an abundant number, since it is smaller than the sum of its proper divisors (460822144).

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

227790144 is an equidigital number, since it uses as much as digits as its factorization.

227790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 227790144 is about 15092.7182442395. The cubic root of 227790144 is about 610.7239849667.

The spelling of 227790144 in words is "two hundred twenty-seven million, seven hundred ninety thousand, one hundred forty-four".