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14219072 = 267171867
BaseRepresentation
bin110110001111…
…011101000000
3222202101220022
4312033131000
512120002242
61224433012
7231601010
oct66173500
928671808
1014219072
118031aaa
124918768
132c3b06a
141c61c40
1513ad0d2
hexd8f740

14219072 has 56 divisors (see below), whose sum is σ = 34161984. Its totient is φ = 5732352.

The previous prime is 14219069. The next prime is 14219113. The reversal of 14219072 is 27091241.

14219072 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 (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6683 + ... + 8549.

Almost surely, 214219072 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 14219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17080992).

14219072 is an abundant number, since it is smaller than the sum of its proper divisors (19942912).

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

14219072 is a wasteful number, since it uses less digits than its factorization.

14219072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 14219072 is about 3770.8184787921. The cubic root of 14219072 is about 242.2648558473.

The spelling of 14219072 in words is "fourteen million, two hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1867 1904 3734 3808 7468 7616 13069 14936 26138 29872 31739 52276 59744 63478 104552 119488 126956 209104 222173 253912 418208 444346 507824 836416 888692 1015648 1777384 2031296 3554768 7109536 14219072