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131222550 = 235219411123
BaseRepresentation
bin1111101001001…
…00110000010110
3100010220210111110
413310210300112
5232043110200
621004315450
73152242014
oct764446026
9303823443
10131222550
1168087498
1237b42b86
13212560a4
14135db8b4
15b7c0b50
hex7d24c16

131222550 has 96 divisors (see below), whose sum is σ = 351227520. Its totient is φ = 32313600.

The previous prime is 131222503. The next prime is 131222603. The reversal of 131222550 is 55222131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116289 + ... + 117411.

It is an arithmetic number, because the mean of its divisors is an integer number (3658620).

Almost surely, 2131222550 is an apocalyptic number.

131222550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175613760).

131222550 is an abundant number, since it is smaller than the sum of its proper divisors (220004970).

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

131222550 is a wasteful number, since it uses less digits than its factorization.

131222550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 131222550 is about 11455.2411585265. The cubic root of 131222550 is about 508.1627472642.

Adding to 131222550 its reverse (55222131), we get a palindrome (186444681).

The spelling of 131222550 in words is "one hundred thirty-one million, two hundred twenty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 41 50 57 75 82 95 114 123 150 190 205 246 285 410 475 570 615 779 950 1025 1123 1230 1425 1558 2050 2246 2337 2850 3075 3369 3895 4674 5615 6150 6738 7790 11230 11685 16845 19475 21337 23370 28075 33690 38950 42674 46043 56150 58425 64011 84225 92086 106685 116850 128022 138129 168450 213370 230215 276258 320055 460430 533425 640110 690645 874817 1066850 1151075 1381290 1600275 1749634 2302150 2624451 3200550 3453225 4374085 5248902 6906450 8748170 13122255 21870425 26244510 43740850 65611275 131222550