Search a number
-
+
131133222 = 23311257859
BaseRepresentation
bin1111101000011…
…10111100100110
3100010202020222000
413310032330212
5232032230342
621002350130
73151420413
oct764167446
9303666860
10131133222
1168026370
1237abb346
132122452c
14135b710a
15b7a444c
hex7d0ef26

131133222 has 64 divisors (see below), whose sum is σ = 319507200. Its totient is φ = 39536640.

The previous prime is 131133221. The next prime is 131133241. The reversal of 131133222 is 222331131.

131133222 is a `hidden beast` number, since 1 + 311 + 332 + 22 = 666.

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

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 = 131133195 and 131133204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152229 + ... + 153087.

It is an arithmetic number, because the mean of its divisors is an integer number (4992300).

Almost surely, 2131133222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159753600).

131133222 is an abundant number, since it is smaller than the sum of its proper divisors (188373978).

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

131133222 is a wasteful number, since it uses less digits than its factorization.

131133222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1132 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131133222 is about 11451.3414934670. The cubic root of 131133222 is about 508.0474127529.

Adding to 131133222 its reverse (222331131), we get a palindrome (353464353).

The spelling of 131133222 in words is "one hundred thirty-one million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 257 297 514 594 771 859 1542 1718 2313 2577 2827 4626 5154 5654 6939 7731 8481 9449 13878 15462 16962 18898 23193 25443 28347 46386 50886 56694 76329 85041 152658 170082 220763 255123 441526 510246 662289 1324578 1986867 2428393 3973734 4856786 5960601 7285179 11921202 14570358 21855537 43711074 65566611 131133222