Search a number
-
+
13922244 = 22327101547
BaseRepresentation
bin110101000110…
…111111000100
3222012022201200
4311012333010
512031002434
61214222500
7226223430
oct65067704
928168650
1013922244
117949a96
1247b4a30
132b65c1b
141bc59c0
151350199
hexd46fc4

13922244 has 72 divisors (see below), whose sum is σ = 40692288. Its totient is φ = 3931200.

The previous prime is 13922221. The next prime is 13922257. The reversal of 13922244 is 44222931.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25179 + ... + 25725.

Almost surely, 213922244 is an apocalyptic number.

13922244 is a gapful number since it is divisible by the number (14) 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 13922244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20346144).

13922244 is an abundant number, since it is smaller than the sum of its proper divisors (26770044).

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

13922244 is a wasteful number, since it uses less digits than its factorization.

13922244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 660 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13922244 is about 3731.2523366827. The cubic root of 13922244 is about 240.5672001274.

The spelling of 13922244 in words is "thirteen million, nine hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 547 606 707 909 1094 1212 1414 1641 1818 2121 2188 2828 3282 3636 3829 4242 4923 6363 6564 7658 8484 9846 11487 12726 15316 19692 22974 25452 34461 45948 55247 68922 110494 137844 165741 220988 331482 386729 497223 662964 773458 994446 1160187 1546916 1988892 2320374 3480561 4640748 6961122 13922244