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227812500 = 223657
BaseRepresentation
bin11011001010000…
…10010010010100
3120212200002000000
431211002102110
5431310000000
634334451300
75434242246
oct1545022224
9525602000
10227812500
111076599a3
1264363b30
13382746c6
1422382096
1515000000
hexd942494

227812500 has 168 divisors, whose sum is σ = 747166056. Its totient is φ = 60750000.

The previous prime is 227812471. The next prime is 227812513. The reversal of 227812500 is 5218722.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 225360144 + 2452356 = 15012^2 + 1566^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 45562498 + ... + 45562502.

It is an arithmetic number, because the mean of its divisors is an integer number (4447417).

Almost surely, 2227812500 is an apocalyptic number.

227812500 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 227812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373583028).

227812500 is an abundant number, since it is smaller than the sum of its proper divisors (519353556).

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

227812500 is an frugal number, since it uses more digits than its factorization.

227812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 227812500 is about 15093.4588481236. The cubic root of 227812500 is about 610.7439637339.

It can be divided in two parts, 22781 and 2500, that added together give a square (25281 = 1592).

The spelling of 227812500 in words is "two hundred twenty-seven million, eight hundred twelve thousand, five hundred".