[go: up one dir, main page]

Search a number
-
+
29222292 = 22311534177
BaseRepresentation
bin110111101111…
…0010110010100
32000222122110010
41233132112110
524440103132
62522200220
7503246121
oct157362624
960878403
1029222292
111554a160
129953070
136091cc8
143c49748
1528736cc
hex1bde594

29222292 has 48 divisors (see below), whose sum is σ = 75805632. Its totient is φ = 8686080.

The previous prime is 29222279. The next prime is 29222293.

29222292 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29222293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908 + ... + 9084.

It is an arithmetic number, because the mean of its divisors is an integer number (1579284).

Almost surely, 229222292 is an apocalyptic number.

29222292 is a gapful number since it is divisible by the number (22) 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 29222292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37902816).

29222292 is an abundant number, since it is smaller than the sum of its proper divisors (46583340).

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

29222292 is a wasteful number, since it uses less digits than its factorization.

29222292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4246 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 29222292 is about 5405.7647007616. The cubic root of 29222292 is about 308.0146869929.

The spelling of 29222292 in words is "twenty-nine million, two hundred twenty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 4177 6996 8354 12531 16708 25062 45947 50124 91894 137841 183788 221381 275682 442762 551364 664143 885524 1328286 2435191 2656572 4870382 7305573 9740764 14611146 29222292