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132223520 = 25511135779
BaseRepresentation
bin1111110000110…
…01001000100000
3100012210122120102
413320121020200
5232322123040
621042001532
73163611212
oct770311040
9305718512
10132223520
1168700540
12383462a8
1321516890
14137bc5b2
15b91c515
hex7e19220

132223520 has 96 divisors (see below), whose sum is σ = 367053120. Its totient is φ = 44375040.

The previous prime is 132223519. The next prime is 132223529. The reversal of 132223520 is 25322231.

132223520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132223492 and 132223501.

It is not an unprimeable number, because it can be changed into a prime (132223529) 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 15 ways as a sum of consecutive naturals, for example, 19991 + ... + 25769.

It is an arithmetic number, because the mean of its divisors is an integer number (3823470).

Almost surely, 2132223520 is an apocalyptic number.

132223520 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 132223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183526560).

132223520 is an abundant number, since it is smaller than the sum of its proper divisors (234829600).

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

132223520 is a wasteful number, since it uses less digits than its factorization.

132223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 132223520 is about 11498.8486380159. The cubic root of 132223520 is about 509.4515698812.

Adding to 132223520 its reverse (25322231), we get a palindrome (157545751).

It can be divided in two parts, 1322 and 23520, that added together give a palindrome (24842).

The spelling of 132223520 in words is "one hundred thirty-two million, two hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 5779 11440 11558 22880 23116 28895 46232 57790 63569 75127 92464 115580 127138 150254 184928 231160 254276 300508 317845 375635 462320 508552 601016 635690 751270 826397 924640 1017104 1202032 1271380 1502540 1652794 2034208 2404064 2542760 3005080 3305588 4131985 5085520 6010160 6611176 8263970 10171040 12020320 13222352 16527940 26444704 33055880 66111760 132223520