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228428641 = 7213213529
BaseRepresentation
bin11011001110110…
…00101101100001
3120220211101012001
431213120231201
5431434204031
634400004001
75442416500
oct1547305541
9526741161
10228428641
11107a3a901
1264600601
133842bc9c
14224a2837
15150c2861
hexd9d8b61

228428641 has 12 divisors (see below), whose sum is σ = 265999620. Its totient is φ = 195592320.

The previous prime is 228428633. The next prime is 228428653. The reversal of 228428641 is 146824822.

It can be written as a sum of positive squares in 2 ways, for example, as 118178641 + 110250000 = 10871^2 + 10500^2 .

It is not a de Polignac number, because 228428641 - 23 = 228428633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228428641.

It is not an unprimeable number, because it can be changed into a prime (228428441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62965 + ... + 66493.

It is an arithmetic number, because the mean of its divisors is an integer number (22166635).

Almost surely, 2228428641 is an apocalyptic number.

It is an amenable number.

228428641 is a deficient number, since it is larger than the sum of its proper divisors (37570979).

228428641 is a wasteful number, since it uses less digits than its factorization.

228428641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4857 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 228428641 is about 15113.8559275917. The cubic root of 228428641 is about 611.2940735168.

The spelling of 228428641 in words is "two hundred twenty-eight million, four hundred twenty-eight thousand, six hundred forty-one".

Divisors: 1 7 49 1321 3529 9247 24703 64729 172921 4661809 32632663 228428641