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133232220 = 223251167289
BaseRepresentation
bin1111111000011…
…11011001011100
3100021200220020200
413330033121130
5233101412340
621115343500
73205312062
oct774173134
9307626220
10133232220
116922a380
1238751b90
13217aaa44
14139a2032
15ba6b330
hex7f0f65c

133232220 has 72 divisors (see below), whose sum is σ = 440884080. Its totient is φ = 32298240.

The previous prime is 133232173. The next prime is 133232233. The reversal of 133232220 is 22232331.

It is a happy number.

It is a super-2 number, since 2×1332322202 = 35501648892256800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133232193 and 133232202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31665 + ... + 35624.

It is an arithmetic number, because the mean of its divisors is an integer number (6123390).

Almost surely, 2133232220 is an apocalyptic number.

133232220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133232220 is an abundant number, since it is smaller than the sum of its proper divisors (307651860).

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

133232220 is a wasteful number, since it uses less digits than its factorization.

133232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67315 (or 67310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 133232220 is about 11542.6262176335. The cubic root of 133232220 is about 510.7437821023.

Adding to 133232220 its reverse (22232331), we get a palindrome (155464551).

The spelling of 133232220 in words is "one hundred thirty-three million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 67289 134578 201867 269156 336445 403734 605601 672890 740179 807468 1009335 1211202 1345780 1480358 2018670 2220537 2422404 2960716 3028005 3700895 4037340 4441074 6056010 6661611 7401790 8882148 11102685 12112020 13323222 14803580 22205370 26646444 33308055 44410740 66616110 133232220