Search a number
-
+
229094628 = 22371923792
BaseRepresentation
bin11011010011110…
…11010011100100
3120222002012202020
431221323103210
5432122012003
634422143140
75451162240
oct1551732344
9528065666
10229094628
11108355204
1264881ab0
1338603169
14225d7420
15151a4d53
hexda7b4e4

229094628 has 144 divisors (see below), whose sum is σ = 679633920. Its totient is φ = 58563648.

The previous prime is 229094627. The next prime is 229094629. The reversal of 229094628 is 826490922.

It is an interprime number because it is at equal distance from previous prime (229094627) and next prime (229094629).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 229094628.

It is not an unprimeable number, because it can be changed into a prime (229094623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2899893 + ... + 2899971.

It is an arithmetic number, because the mean of its divisors is an integer number (4719680).

Almost surely, 2229094628 is an apocalyptic number.

229094628 is a gapful number since it is divisible by the number (28) 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 229094628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339816960).

229094628 is an abundant number, since it is smaller than the sum of its proper divisors (450539292).

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

229094628 is a wasteful number, since it uses less digits than its factorization.

229094628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 229094628 is about 15135.8722246192. The cubic root of 229094628 is about 611.8875759999.

The spelling of 229094628 in words is "two hundred twenty-nine million, ninety-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 76 79 84 92 114 133 138 158 161 228 237 266 276 316 322 399 437 474 483 532 553 644 798 874 948 966 1106 1311 1501 1596 1659 1748 1817 1932 2212 2622 3002 3059 3318 3634 4503 5244 5451 6004 6118 6241 6636 7268 9006 9177 10507 10902 12236 12482 12719 18012 18354 18723 21014 21804 24964 25438 31521 34523 36708 37446 38157 42028 43687 50876 63042 69046 74892 76314 87374 103569 118579 126084 131061 138092 143543 152628 174748 207138 237158 241661 262122 287086 355737 414276 430629 474316 483322 524244 574172 711474 724983 830053 861258 966644 1004801 1422948 1449966 1660106 1722516 2009602 2490159 2727317 2899932 3014403 3320212 4019204 4980318 5454634 6028806 8181951 9960636 10909268 12057612 16363902 19091219 32727804 38182438 57273657 76364876 114547314 229094628