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2331200144 = 2471323671039
BaseRepresentation
bin1000101011110011…
…0100101010010000
320000110120020102002
42022330310222100
514233241401034
61023153413132
7111524605610
oct21274645220
96013506362
102331200144
11a969a1199
1255086a1a8
132b1c7a490
14181870a40
15d99d5e7e
hex8af34a90

2331200144 has 160 divisors (see below), whose sum is σ = 5892956160. Its totient is φ = 868133376.

The previous prime is 2331200143. The next prime is 2331200159. The reversal of 2331200144 is 4410021332.

It is a super-2 number, since 2×23312001442 = 10868988222771241472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2331200143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2243177 + ... + 2244215.

It is an arithmetic number, because the mean of its divisors is an integer number (36830976).

Almost surely, 22331200144 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 2331200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946478080).

2331200144 is an abundant number, since it is smaller than the sum of its proper divisors (3561756016).

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

2331200144 is a wasteful number, since it uses less digits than its factorization.

2331200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2331200144 is about 48282.5034976439. The cubic root of 2331200144 is about 1325.9480849951.

Adding to 2331200144 its reverse (4410021332), we get a palindrome (6741221476).

It can be divided in two parts, 2331 and 200144, that multiplied together give a palindrome (466535664).

The spelling of 2331200144 in words is "two billion, three hundred thirty-one million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 67 91 92 104 112 134 161 182 184 208 268 299 322 364 368 469 536 598 644 728 871 938 1039 1072 1196 1288 1456 1541 1742 1876 2078 2093 2392 2576 3082 3484 3752 4156 4186 4784 6097 6164 6968 7273 7504 8312 8372 10787 12194 12328 13507 13936 14546 16624 16744 20033 21574 23897 24388 24656 27014 29092 33488 40066 43148 47794 48776 54028 58184 69613 80132 86296 94549 95588 97552 108056 116368 139226 140231 160264 167279 172592 189098 191176 216112 278452 280462 310661 320528 334558 378196 382352 487291 556904 560924 621322 669116 756392 904969 974582 1113808 1121848 1242644 1338232 1512784 1601099 1809938 1949164 2174627 2243696 2485288 2676464 3202198 3619876 3898328 4349254 4970576 6334783 6404396 7239752 7796656 8698508 11207693 12669566 12808792 14479504 17397016 20814287 22415386 25339132 25617584 34794032 41628574 44830772 50678264 83257148 89661544 101356528 145700009 166514296 179323088 291400018 333028592 582800036 1165600072 2331200144