Search a number
-
+
131222240 = 2554319073
BaseRepresentation
bin1111101001001…
…00101011100000
3100010220210001222
413310210223200
5232043102430
621004314212
73152241062
oct764445340
9303823058
10131222240
1168087236
1237b42968
1321255bc6
14135db732
15b7c09e5
hex7d24ae0

131222240 has 48 divisors (see below), whose sum is σ = 317238768. Its totient is φ = 51265536.

The previous prime is 131222237. The next prime is 131222243. The reversal of 131222240 is 42222131.

It is an interprime number because it is at equal distance from previous prime (131222237) and next prime (131222243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131222243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2657 + ... + 16416.

It is an arithmetic number, because the mean of its divisors is an integer number (6609141).

Almost surely, 2131222240 is an apocalyptic number.

131222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131222240 is an abundant number, since it is smaller than the sum of its proper divisors (186016528).

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

131222240 is a wasteful number, since it uses less digits than its factorization.

131222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131 (or 19123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 131222240 is about 11455.2276275943. The cubic root of 131222240 is about 508.1623471029.

Adding to 131222240 its reverse (42222131), we get a palindrome (173444371).

The spelling of 131222240 in words is "one hundred thirty-one million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 3440 6880 19073 38146 76292 95365 152584 190730 305168 381460 610336 762920 820139 1525840 1640278 3051680 3280556 4100695 6561112 8201390 13122224 16402780 26244448 32805560 65611120 131222240