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132221320 = 23571142929
BaseRepresentation
bin1111110000110…
…00100110001000
3100012210112112221
413320120212020
5232322040240
621041543424
73163601620
oct770304610
9305715487
10132221320
11686a9920
1238344b74
132151588a
14137bb880
15b91ba4a
hex7e18988

132221320 has 64 divisors (see below), whose sum is σ = 370915200. Its totient is φ = 41210880.

The previous prime is 132221317. The next prime is 132221333. The reversal of 132221320 is 23122231.

It is a junction number, because it is equal to n+sod(n) for n = 132221294 and 132221303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18385 + ... + 24544.

It is an arithmetic number, because the mean of its divisors is an integer number (5795550).

Almost surely, 2132221320 is an apocalyptic number.

132221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132221320 is an abundant number, since it is smaller than the sum of its proper divisors (238693880).

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

132221320 is a wasteful number, since it uses less digits than its factorization.

132221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42958 (or 42954 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132221320 is about 11498.7529758666. The cubic root of 132221320 is about 509.4487443635.

Adding to 132221320 its reverse (23122231), we get a palindrome (155343551).

The spelling of 132221320 in words is "one hundred thirty-two million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 42929 85858 171716 214645 300503 343432 429290 472219 601006 858580 944438 1202012 1502515 1717160 1888876 2361095 2404024 3005030 3305533 3777752 4722190 6010060 6611066 9444380 12020120 13222132 16527665 18888760 26444264 33055330 66110660 132221320