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13874224 = 247132733
BaseRepresentation
bin110100111011…
…010000110000
3222002212212011
4310323100300
512022433344
61213212304
7225633430
oct64732060
928085764
1013874224
117916a01
124791094
132b4a100
141bb22c0
151340d34
hexd3b430

13874224 has 60 divisors (see below), whose sum is σ = 33311856. Its totient is φ = 5481216.

The previous prime is 13874219. The next prime is 13874233. The reversal of 13874224 is 42247831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18562 + ... + 19294.

Almost surely, 213874224 is an apocalyptic number.

13874224 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 13874224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655928).

13874224 is an abundant number, since it is smaller than the sum of its proper divisors (19437632).

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

13874224 is a wasteful number, since it uses less digits than its factorization.

13874224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 13874224 is about 3724.8119415616. The cubic root of 13874224 is about 240.2902968721.

The spelling of 13874224 in words is "thirteen million, eight hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 733 1183 1352 1456 1466 2366 2704 2932 4732 5131 5864 9464 9529 10262 11728 18928 19058 20524 38116 41048 66703 76232 82096 123877 133406 152464 247754 266812 495508 533624 867139 991016 1067248 1734278 1982032 3468556 6937112 13874224