Search a number
-
+
14022272 = 271123433
BaseRepresentation
bin110101011111…
…011010000000
3222101101221102
4311133122000
512042203042
61220313532
7230121155
oct65373200
928341842
1014022272
117a08160
1248428a8
132b9c604
141c1022c
15136eb32
hexd5f680

14022272 has 64 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 6082560.

The previous prime is 14022271. The next prime is 14022277. The reversal of 14022272 is 27222041.

It is a happy number.

14022272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×140222722 = 393248224083968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14022271) 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, 32168 + ... + 32600.

It is an arithmetic number, because the mean of its divisors is an integer number (498015).

Almost surely, 214022272 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 14022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

14022272 is an abundant number, since it is smaller than the sum of its proper divisors (17850688).

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

14022272 is a wasteful number, since it uses less digits than its factorization.

14022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 14022272 is about 3744.6324252188. The cubic root of 14022272 is about 241.1419651047.

The spelling of 14022272 in words is "fourteen million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 433 506 704 736 866 1012 1408 1472 1732 2024 2944 3464 4048 4763 6928 8096 9526 9959 13856 16192 19052 19918 27712 32384 38104 39836 55424 76208 79672 109549 152416 159344 219098 304832 318688 438196 609664 637376 876392 1274752 1752784 3505568 7011136 14022272