Search a number
-
+
229246593876 = 223319223255649
BaseRepresentation
bin1101010110000000101…
…0010110101101010100
3210220201120220120222000
43111200022112231110
512223444112001001
6253151530035300
722363641616356
oct3254012265524
9726646816860
10229246593876
118924a7a9043
123851a278b30
1318805596321
14b14a44d0d6
155e6ad7ba86
hex3560296b54

229246593876 has 144 divisors (see below), whose sum is σ = 654545808000. Its totient is φ = 69245839872.

The previous prime is 229246593839. The next prime is 229246593881. The reversal of 229246593876 is 678395642922.

It is a happy number.

229246593876 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 465 + 93 + 87 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768900 + ... + 1024548.

It is an arithmetic number, because the mean of its divisors is an integer number (4545457000).

Almost surely, 2229246593876 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 229246593876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327272904000).

229246593876 is an abundant number, since it is smaller than the sum of its proper divisors (425299214124).

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

229246593876 is a wasteful number, since it uses less digits than its factorization.

229246593876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255723 (or 255696 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 229246593876 in words is "two hundred twenty-nine billion, two hundred forty-six million, five hundred ninety-three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 92 108 114 138 171 207 228 276 342 361 414 437 513 621 684 722 828 874 1026 1083 1242 1311 1444 1748 2052 2166 2484 2622 3249 3933 4332 5244 6498 7866 8303 9747 11799 12996 15732 16606 19494 23598 24909 33212 38988 47196 49818 74727 99636 149454 224181 255649 298908 448362 511298 766947 896724 1022596 1533894 2300841 3067788 4601682 4857331 5879927 6902523 9203364 9714662 11759854 13805046 14571993 17639781 19429324 23519708 27610092 29143986 35279562 43715979 52919343 58287972 70559124 87431958 92289289 105838686 111718613 131147937 158758029 174863916 184578578 211677372 223437226 262295874 276867867 317516058 335155839 369157156 446874452 524591748 553735734 635032116 670311678 830603601 1005467517 1107471468 1340623356 1661207202 2010935034 2122653647 2491810803 3016402551 3322414404 4021870068 4245307294 4983621606 6032805102 6367960941 8490614588 9967243212 12065610204 12735921882 19103882823 25471843764 38207765646 57311648469 76415531292 114623296938 229246593876