Search a number
-
+
131422220 = 22541293547
BaseRepresentation
bin1111101010101…
…01100000001100
3100011021221101122
413311111200030
5232121002340
621012500112
73154033106
oct765254014
9304257348
10131422220
1168203506
123801a638
13212c5c37
1413650576
15b80edb5
hex7d5580c

131422220 has 48 divisors (see below), whose sum is σ = 284201568. Its totient is φ = 51018240.

The previous prime is 131422219. The next prime is 131422231. The reversal of 131422220 is 22224131.

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 15 ways as a sum of consecutive naturals, for example, 239987 + ... + 240533.

It is an arithmetic number, because the mean of its divisors is an integer number (5920866).

Almost surely, 2131422220 is an apocalyptic number.

131422220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131422220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142100784).

131422220 is an abundant number, since it is smaller than the sum of its proper divisors (152779348).

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

131422220 is a wasteful number, since it uses less digits than its factorization.

131422220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

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

The square root of 131422220 is about 11463.9530703855. The cubic root of 131422220 is about 508.4203590740.

Adding to 131422220 its reverse (22224131), we get a palindrome (153646351).

The spelling of 131422220 in words is "one hundred thirty-one million, four hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 293 410 547 586 820 1094 1172 1465 2188 2735 2930 5470 5860 10940 12013 22427 24026 44854 48052 60065 89708 112135 120130 160271 224270 240260 320542 448540 641084 801355 1602710 3205420 6571111 13142222 26284444 32855555 65711110 131422220