Search a number
-
+
229890724168 = 23725988311257
BaseRepresentation
bin1101011000011010001…
…1100001000101001000
3210222101110221210121111
43112012203201011020
512231304011133133
6253335500020104
722415622625300
oct3260643410510
9728343853544
10229890724168
1189550358726
1238679b31634
13188a8b73701
14b1abc02600
155ea76b51cd
hex35868e1148

229890724168 has 96 divisors (see below), whose sum is σ = 510541293600. Its totient is φ = 96736405248.

The previous prime is 229890724159. The next prime is 229890724169. The reversal of 229890724168 is 861427098922.

It is a happy number.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (229890724169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20416396 + ... + 20427652.

It is an arithmetic number, because the mean of its divisors is an integer number (5318138475).

Almost surely, 2229890724168 is an apocalyptic number.

229890724168 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 229890724168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255270646800).

229890724168 is an abundant number, since it is smaller than the sum of its proper divisors (280650569432).

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

229890724168 is a wasteful number, since it uses less digits than its factorization.

229890724168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12219 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 229890724168 in words is "two hundred twenty-nine billion, eight hundred ninety million, seven hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 826 883 1652 1766 2891 3304 3532 5782 6181 7064 11257 11564 12362 22514 23128 24724 43267 45028 49448 52097 78799 86534 90056 104194 157598 173068 208388 315196 346136 364679 416776 551593 630392 664163 729358 1103186 1328326 1458716 2206372 2552753 2656652 2917432 4412744 4649141 5105506 5313304 9298282 9939931 10211012 18596564 19879862 20422024 32543987 37193128 39759724 65087974 69579517 79519448 130175948 139159034 260351896 278318068 487056619 556636136 586455929 974113238 1172911858 1948226476 2345823716 3896452952 4105191503 4691647432 8210383006 16420766012 28736340521 32841532024 57472681042 114945362084 229890724168