Search a number
-
+
31414220 = 225193229
BaseRepresentation
bin111011111010…
…1011111001100
32012010000012122
41313311133030
531020223340
63041152112
7531005435
oct167653714
965100178
1031414220
1116806a72
12a62b638
13667b8c6
14425a48c
152b57db5
hex1df57cc

31414220 has 48 divisors (see below), whose sum is σ = 69938400. Its totient is φ = 11852352.

The previous prime is 31414199. The next prime is 31414231. The reversal of 31414220 is 2241413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137066 + ... + 137294.

It is an arithmetic number, because the mean of its divisors is an integer number (1457050).

Almost surely, 231414220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34969200).

31414220 is an abundant number, since it is smaller than the sum of its proper divisors (38524180).

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

31414220 is a wasteful number, since it uses less digits than its factorization.

31414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 255 counting only the distinct ones).

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

The square root of 31414220 is about 5604.8389807380. The cubic root of 31414220 is about 315.5310434316.

Adding to 31414220 its reverse (2241413), we get a palindrome (33655633).

The spelling of 31414220 in words is "thirty-one million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 229 361 380 458 722 916 1145 1444 1805 2290 3610 4351 4580 6859 7220 8702 13718 17404 21755 27436 34295 43510 68590 82669 87020 137180 165338 330676 413345 826690 1570711 1653380 3141422 6282844 7853555 15707110 31414220