Search a number
-
+
633224228 = 2271317313301
BaseRepresentation
bin100101101111100…
…011110000100100
31122010112010100012
4211233203300210
52244101133403
6142500105352
721456213530
oct4557436044
91563463305
10633224228
112a549080a
12158095258
13a125c2c0
1460154bc0
153a8d1ed8
hex25be3c24

633224228 has 96 divisors (see below), whose sum is σ = 1491130368. Its totient is φ = 228096000.

The previous prime is 633224219. The next prime is 633224237. The reversal of 633224228 is 822422336.

633224228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (633224219) and next prime (633224237).

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

It is a junction number, because it is equal to n+sod(n) for n = 633224194 and 633224203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190178 + ... + 193478.

It is an arithmetic number, because the mean of its divisors is an integer number (15532608).

Almost surely, 2633224228 is an apocalyptic number.

633224228 is a gapful number since it is divisible by the number (68) 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 633224228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745565184).

633224228 is an abundant number, since it is smaller than the sum of its proper divisors (857906140).

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

633224228 is a wasteful number, since it uses less digits than its factorization.

633224228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3371 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 633224228 is about 25163.9469877045. The cubic root of 633224228 is about 858.7218384487.

The spelling of 633224228 in words is "six hundred thirty-three million, two hundred twenty-four thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 31 34 52 62 68 91 119 124 182 217 221 238 364 403 434 442 476 527 806 868 884 1054 1547 1612 2108 2821 3094 3301 3689 5642 6188 6602 6851 7378 11284 13204 13702 14756 23107 27404 42913 46214 47957 56117 85826 92428 95914 102331 112234 171652 191828 204662 224468 300391 392819 409324 600782 716317 729521 785638 1201564 1330303 1432634 1459042 1571276 1739627 2660606 2865268 2918084 3479254 5106647 5321212 6958508 9312121 10213294 12177389 18624242 20426588 22615151 24354778 37248484 45230302 48709556 90460604 158306057 316612114 633224228