Search a number
-
+
132220333320 = 23351797278467
BaseRepresentation
bin111101100100011110…
…0100010110100001000
3110122021122212212100020
41323020330202310020
54131241401131240
6140424032340440
712360354201225
oct1731074426410
9418248785306
10132220333320
115108aa27449
12217603a4720
13c611ba522a
14658431a94c
15368cc4a0d0
hex1ec8f22d08

132220333320 has 128 divisors (see below), whose sum is σ = 399472819200. Its totient is φ = 35009415936.

The previous prime is 132220333319. The next prime is 132220333327. The reversal of 132220333320 is 23333022231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (132220333327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15611727 + ... + 15620193.

It is an arithmetic number, because the mean of its divisors is an integer number (3120881400).

Almost surely, 2132220333320 is an apocalyptic number.

132220333320 is a gapful number since it is divisible by the number (10) 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 132220333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199736409600).

132220333320 is an abundant number, since it is smaller than the sum of its proper divisors (267252485880).

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

132220333320 is a wasteful number, since it uses less digits than its factorization.

132220333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9387 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 132220333320 its reverse (23333022231), we get a palindrome (155553355551).

The spelling of 132220333320 in words is "one hundred thirty-two billion, two hundred twenty million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 727 895 1074 1432 1454 1790 2148 2181 2685 2908 3580 3635 4296 4362 5370 5816 7160 7270 8467 8724 10740 10905 14540 16934 17448 21480 21810 25401 29080 33868 42335 43620 50802 67736 84670 87240 101604 127005 130133 169340 203208 254010 260266 338680 390399 508020 520532 650665 780798 1016040 1041064 1301330 1515593 1561596 1951995 2602660 3031186 3123192 3903990 4546779 5205320 6062372 6155509 7577965 7807980 9093558 12124744 12311018 15155930 15615960 18187116 18466527 22733895 24622036 30311860 30777545 36374232 36933054 45467790 49244072 60623720 61555090 73866108 90935580 92332635 123110180 147732216 181871160 184665270 246220360 369330540 738661080 1101836111 2203672222 3305508333 4407344444 5509180555 6611016666 8814688888 11018361110 13222033332 16527541665 22036722220 26444066664 33055083330 44073444440 66110166660 132220333320