Search a number
-
+
31229056 = 272947179
BaseRepresentation
bin111011100100…
…0010010000000
32011202121012201
41313020102000
530443312211
63033202544
7526304545
oct167102200
964677181
1031229056
111669a941
12a560454
136615541
14420cbcc
152b1d0c1
hex1dc8480

31229056 has 64 divisors (see below), whose sum is σ = 66096000. Its totient is φ = 14672896.

The previous prime is 31229041. The next prime is 31229057. The reversal of 31229056 is 65092213.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×312290562 = 1950507877302272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31229057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174375 + ... + 174553.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 231229056 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 31229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33048000).

31229056 is an abundant number, since it is smaller than the sum of its proper divisors (34866944).

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

31229056 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (31229055) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (269).

31229056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 31229056 is about 5588.2963414622. The cubic root of 31229056 is about 314.9098793170.

The spelling of 31229056 in words is "thirty-one million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 179 188 232 358 376 464 716 752 928 1363 1432 1504 1856 2726 2864 3008 3712 5191 5452 5728 6016 8413 10382 10904 11456 16826 20764 21808 22912 33652 41528 43616 67304 83056 87232 134608 166112 174464 243977 269216 332224 487954 538432 664448 975908 1076864 1951816 3903632 7807264 15614528 31229056