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4228484 = 2213233349
BaseRepresentation
bin10000001000010110000100
321221211101112
4100020112010
52040302414
6230344152
750640641
oct20102604
97854345
104228484
112428a17
1214bb058
13b50880
147c0dc8
15587d3e
hex408584

4228484 has 24 divisors (see below), whose sum is σ = 8026200. Its totient is φ = 1937664.

The previous prime is 4228457. The next prime is 4228487. The reversal of 4228484 is 4848224.

4228484 = T377 + T378 + ... + T428.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 4120900 = 328^2 + 2030^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4 + 215 + 222 + 82 + 44 + 82 + 45 .

It is a self number, because there is not a number n which added to its sum of digits gives 4228484.

It is not an unprimeable number, because it can be changed into a prime (4228487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11942 + ... + 12290.

It is an arithmetic number, because the mean of its divisors is an integer number (334425).

Almost surely, 24228484 is an apocalyptic number.

It is an amenable number.

4228484 is a deficient number, since it is larger than the sum of its proper divisors (3797716).

4228484 is a wasteful number, since it uses less digits than its factorization.

4228484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 597 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 4228484 is about 2056.3277948810. The cubic root of 4228484 is about 161.7067804711.

It can be divided in two parts, 4 and 228484, that multiplied together give a square (913936 = 9562).

The spelling of 4228484 in words is "four million, two hundred twenty-eight thousand, four hundred eighty-four".

Divisors: 1 2 4 13 26 52 233 349 466 698 932 1396 3029 4537 6058 9074 12116 18148 81317 162634 325268 1057121 2114242 4228484