Search a number
-
+
31011222 = 23112331659
BaseRepresentation
bin111011001001…
…1000110010110
32011100112101210
41312103012112
530414324342
63024402250
7524406504
oct166230626
964315353
1031011222
1116561210
12a476386
13656a348
144193674
152ac879c
hex1d93196

31011222 has 64 divisors (see below), whose sum is σ = 72990720. Its totient is φ = 8685600.

The previous prime is 31011209. The next prime is 31011223. The reversal of 31011222 is 22211013.

It is a junction number, because it is equal to n+sod(n) for n = 31011198 and 31011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31011223) 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 31 ways as a sum of consecutive naturals, for example, 46729 + ... + 47387.

It is an arithmetic number, because the mean of its divisors is an integer number (1140480).

Almost surely, 231011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36495360).

31011222 is an abundant number, since it is smaller than the sum of its proper divisors (41979498).

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

31011222 is a wasteful number, since it uses less digits than its factorization.

31011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 31011222 is about 5568.7720369934. The cubic root of 31011222 is about 314.1759666593.

Adding to 31011222 its reverse (22211013), we get a palindrome (53222235).

The spelling of 31011222 in words is "thirty-one million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 506 659 682 713 759 1023 1318 1426 1518 1977 2046 2139 3954 4278 7249 7843 14498 15157 15686 20429 21747 23529 30314 40858 43494 45471 47058 61287 90942 122574 166727 224719 333454 449438 469867 500181 674157 939734 1000362 1348314 1409601 2819202 5168537 10337074 15505611 31011222