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229384872 = 23341931601
BaseRepresentation
bin11011010110000…
…10001010101000
3120222121221220000
431223002022220
5432210303442
634432303000
75453511363
oct1553021250
9528557800
10229384872
11108533282
12649a1a60
13386a52c2
14226710da
1515210d4c
hexdac22a8

229384872 has 160 divisors (see below), whose sum is σ = 699283200. Its totient is φ = 69984000.

The previous prime is 229384871. The next prime is 229384877. The reversal of 229384872 is 278483922.

It is not an unprimeable number, because it can be changed into a prime (229384871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 381372 + ... + 381972.

It is an arithmetic number, because the mean of its divisors is an integer number (4370520).

Almost surely, 2229384872 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 229384872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349641600).

229384872 is an abundant number, since it is smaller than the sum of its proper divisors (469898328).

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

229384872 is a wasteful number, since it uses less digits than its factorization.

229384872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 229384872 is about 15145.4571406742. The cubic root of 229384872 is about 612.1458706499.

The spelling of 229384872 in words is "two hundred twenty-nine million, three hundred eighty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 81 93 108 114 124 152 162 171 186 216 228 248 279 324 342 372 456 513 558 589 601 648 684 744 837 1026 1116 1178 1202 1368 1539 1674 1767 1803 2052 2232 2356 2404 2511 3078 3348 3534 3606 4104 4712 4808 5022 5301 5409 6156 6696 7068 7212 10044 10602 10818 11419 12312 14136 14424 15903 16227 18631 20088 21204 21636 22838 31806 32454 34257 37262 42408 43272 45676 47709 48681 55893 63612 64908 68514 74524 91352 95418 97362 102771 111786 127224 129816 137028 149048 167679 190836 194724 205542 223572 274056 308313 335358 353989 381672 389448 411084 447144 503037 616626 670716 707978 822168 924939 1006074 1061967 1233252 1341432 1415956 1509111 1849878 2012148 2123934 2466504 2831912 3018222 3185901 3699756 4024296 4247868 6036444 6371802 7399512 8495736 9557703 12072888 12743604 19115406 25487208 28673109 38230812 57346218 76461624 114692436 229384872