Search a number
-
+
2330013132 = 22321759173373
BaseRepresentation
bin1000101011100001…
…0010110111001100
320000101022221010200
42022320102313030
514232440410012
61023112133500
7111511533126
oct21270226714
96011287120
102330013132
11a96260397
12550397290
132b19530c5
14181642216
15d984e3dc
hex8ae12dcc

2330013132 has 144 divisors (see below), whose sum is σ = 6395669280. Its totient is φ = 712525824.

The previous prime is 2330013121. The next prime is 2330013163. The reversal of 2330013132 is 2313100332.

It is a super-2 number, since 2×23300131322 = 10857922390584898848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6246498 + ... + 6246870.

It is an arithmetic number, because the mean of its divisors is an integer number (44414370).

Almost surely, 22330013132 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 2330013132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197834640).

2330013132 is an abundant number, since it is smaller than the sum of its proper divisors (4065656148).

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

2330013132 is a wasteful number, since it uses less digits than its factorization.

2330013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2330013132 is about 48270.2095707073. The cubic root of 2330013132 is about 1325.7229958558.

Adding to 2330013132 its reverse (2313100332), we get a palindrome (4643113464).

The spelling of 2330013132 in words is "two billion, three hundred thirty million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 173 177 204 236 306 346 354 373 519 531 612 692 708 746 1003 1038 1062 1119 1492 1557 2006 2076 2124 2238 2941 3009 3114 3357 4012 4476 5882 6018 6228 6341 6714 8823 9027 10207 11764 12036 12682 13428 17646 18054 19023 20414 22007 25364 26469 30621 35292 36108 38046 40828 44014 52938 57069 61242 64529 66021 76092 88028 91863 105876 114138 122484 129058 132042 173519 183726 193587 198063 228276 258116 264084 347038 367452 374119 387174 396126 520557 580761 694076 748238 774348 792252 1041114 1096993 1122357 1161522 1496476 1561671 2082228 2193986 2244714 2323044 3123342 3290979 3367071 3807211 4387972 4489428 6246684 6581958 6734142 7614422 9872937 11421633 13163916 13468284 15228844 19745874 22843266 34264899 39491748 45686532 64722587 68529798 129445174 137059596 194167761 258890348 388335522 582503283 776671044 1165006566 2330013132