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227738940 = 22351121319127
BaseRepresentation
bin11011001001100…
…00010100111100
3120212112100002120
431210300110330
5431300121230
634333122540
75433514632
oct1544602474
9525470076
10227738940
11107609700
1264329450
133824a090
1422363352
1514ed8310
hexd93053c

227738940 has 288 divisors, whose sum is σ = 800808960. Its totient is φ = 47900160.

The previous prime is 227738911. The next prime is 227738947. The reversal of 227738940 is 49837722.

227738940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 227738892 and 227738901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227738947) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1793157 + ... + 1793283.

Almost surely, 2227738940 is an apocalyptic number.

227738940 is a gapful number since it is divisible by the number (20) 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 227738940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400404480).

227738940 is an abundant number, since it is smaller than the sum of its proper divisors (573070020).

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

227738940 is a wasteful number, since it uses less digits than its factorization.

227738940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 227738940 is about 15091.0218341900. The cubic root of 227738940 is about 610.6782208351.

It can be divided in two parts, 22773 and 8940, that added together give a palindrome (31713).

The spelling of 227738940 in words is "two hundred twenty-seven million, seven hundred thirty-eight thousand, nine hundred forty".