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14152248 = 233211107167
BaseRepresentation
bin110101111111…
…001000111000
3222122000020100
4311333020320
512110332443
61223155400
7231202125
oct65771070
928560210
1014152248
117a96880
1248a5b60
132c16816
141c4574c
1513983d3
hexd7f238

14152248 has 96 divisors (see below), whose sum is σ = 42456960. Its totient is φ = 4223040.

The previous prime is 14152231. The next prime is 14152253. The reversal of 14152248 is 84225141.

14152248 is a `hidden beast` number, since 1 + 415 + 2 + 248 = 666.

It is a super-2 number, since 2×141522482 = 400572246907008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84661 + ... + 84827.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 214152248 is an apocalyptic number.

14152248 is a gapful number since it is divisible by the number (18) 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 14152248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21228480).

14152248 is an abundant number, since it is smaller than the sum of its proper divisors (28304712).

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

14152248 is a wasteful number, since it uses less digits than its factorization.

14152248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 290 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 14152248 is about 3761.9473680529. The cubic root of 14152248 is about 241.8847435131.

Adding to 14152248 its reverse (84225141), we get a palindrome (98377389).

It can be divided in two parts, 14152 and 248, that added together give a square (14400 = 1202).

The spelling of 14152248 in words is "fourteen million, one hundred fifty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 167 198 214 264 321 334 396 428 501 642 668 792 856 963 1002 1177 1284 1336 1503 1837 1926 2004 2354 2568 3006 3531 3674 3852 4008 4708 5511 6012 7062 7348 7704 9416 10593 11022 12024 14124 14696 16533 17869 21186 22044 28248 33066 35738 42372 44088 53607 66132 71476 84744 107214 132264 142952 160821 196559 214428 321642 393118 428856 589677 643284 786236 1179354 1286568 1572472 1769031 2358708 3538062 4717416 7076124 14152248