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2316666132 = 22321141971471
BaseRepresentation
bin1000101000010101…
…1000010100010100
312222110012211111100
42022011120110110
514221031304012
61021514110100
7111260223444
oct21205302424
95873184440
102316666132
11a89774610
12547a1b330
132abc5bc81
1417d96a124
15d85b48dc
hex8a158514

2316666132 has 144 divisors (see below), whose sum is σ = 6616157184. Its totient is φ = 677376000.

The previous prime is 2316666127. The next prime is 2316666133.

2316666132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316666133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574157 + ... + 1575627.

It is an arithmetic number, because the mean of its divisors is an integer number (45945536).

Almost surely, 22316666132 is an apocalyptic number.

2316666132 is a gapful number since it is divisible by the number (22) 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 2316666132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308078592).

2316666132 is an abundant number, since it is smaller than the sum of its proper divisors (4299491052).

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

2316666132 is a wasteful number, since it uses less digits than its factorization.

2316666132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1625 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 2316666132 is about 48131.7580397808. The cubic root of 2316666132 is about 1323.1867699430.

It can be divided in two parts, 23166 and 66132, that added together give a palindrome (89298).

The spelling of 2316666132 in words is "two billion, three hundred sixteen million, six hundred sixty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 97 99 123 132 164 194 198 246 291 369 388 396 451 492 582 738 873 902 1067 1164 1353 1471 1476 1746 1804 2134 2706 2942 3201 3492 3977 4059 4268 4413 5412 5884 6402 7954 8118 8826 9603 11931 12804 13239 15908 16181 16236 17652 19206 23862 26478 32362 35793 38412 43747 47724 48543 52956 60311 64724 71586 87494 97086 120622 131241 142687 143172 145629 174988 180933 194172 241244 262482 285374 291258 361866 393723 428061 524964 542799 570748 582516 663421 723732 787446 856122 1085598 1284183 1326842 1569557 1574892 1712244 1990263 2171196 2568366 2653684 3139114 3980526 4708671 5136732 5850167 5970789 6278228 7961052 9417342 11700334 11941578 14126013 17550501 18834684 23400668 23883156 28252026 35101002 52651503 56504052 64351837 70202004 105303006 128703674 193055511 210606012 257407348 386111022 579166533 772222044 1158333066 2316666132