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224228208 = 2433124861
BaseRepresentation
bin11010101110101…
…11001101110000
3120121220222021110
431113113031300
5424400300313
634125553320
75361623361
oct1527271560
9517828243
10224228208
11105630a76
1263115840
13375bb119
1421acbb68
1514a42ec3
hexd5d7370

224228208 has 60 divisors (see below), whose sum is σ = 598667784. Its totient is φ = 72316800.

The previous prime is 224228189. The next prime is 224228209. The reversal of 224228208 is 802822422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224228209) 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, 43698 + ... + 48558.

Almost surely, 2224228208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224228208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299333892).

224228208 is an abundant number, since it is smaller than the sum of its proper divisors (374439576).

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

224228208 is a wasteful number, since it uses less digits than its factorization.

224228208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4934 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 224228208 is about 14974.2515004924. The cubic root of 224228208 is about 607.5239666068.

The spelling of 224228208 in words is "two hundred twenty-four million, two hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3844 4861 5766 7688 9722 11532 14583 15376 19444 23064 29166 38888 46128 58332 77776 116664 150691 233328 301382 452073 602764 904146 1205528 1808292 2411056 3616584 4671421 7233168 9342842 14014263 18685684 28028526 37371368 56057052 74742736 112114104 224228208