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131661222 = 237111953283
BaseRepresentation
bin1111101100011…
…11110110100110
3100011202002020120
413312033312212
5232201124342
621021542410
73156046650
oct766176646
9304662216
10131661222
1168357030
1238114a06
132137a964
14136b36d0
15b85aaec
hex7d8fda6

131661222 has 128 divisors (see below), whose sum is σ = 353341440. Its totient is φ = 31674240.

The previous prime is 131661221. The next prime is 131661239. The reversal of 131661222 is 222166131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131661192 and 131661201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131661221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 465093 + ... + 465375.

It is an arithmetic number, because the mean of its divisors is an integer number (2760480).

Almost surely, 2131661222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131661222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176670720).

131661222 is an abundant number, since it is smaller than the sum of its proper divisors (221680218).

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

131661222 is a wasteful number, since it uses less digits than its factorization.

131661222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its digits is 864, while the sum is 24.

The square root of 131661222 is about 11474.3724011381. The cubic root of 131661222 is about 508.7283736961.

The spelling of 131661222 in words is "one hundred thirty-one million, six hundred sixty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 53 57 66 77 106 114 133 154 159 209 231 266 283 318 371 399 418 462 566 583 627 742 798 849 1007 1113 1166 1254 1463 1698 1749 1981 2014 2226 2926 3021 3113 3498 3962 4081 4389 5377 5943 6042 6226 7049 8162 8778 9339 10754 11077 11886 12243 14098 14999 16131 18678 21147 21791 22154 24486 29998 32262 33231 37639 42294 43582 44997 59147 65373 66462 75278 77539 89994 104993 112917 118294 130746 155078 164989 177441 209986 225834 232617 284981 314979 329978 354882 414029 465234 494967 569962 629958 828058 854943 989934 1154923 1242087 1709886 1994867 2309846 2484174 3134791 3464769 3989734 5984601 6269582 6929538 9404373 11969202 18808746 21943537 43887074 65830611 131661222