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13142224 = 2417192543
BaseRepresentation
bin110010001000…
…100011010000
3220201200202001
4302020203100
511331022344
61145403344
7216464344
oct62104320
926650661
1013142224
117466a47
124499554
132951b84
141a61624
151248ed4
hexc888d0

13142224 has 40 divisors (see below), whose sum is σ = 28391040. Its totient is φ = 5856768.

The previous prime is 13142197. The next prime is 13142231. The reversal of 13142224 is 42224131.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 3897 + ... + 6439.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 213142224 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 13142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195520).

13142224 is an abundant number, since it is smaller than the sum of its proper divisors (15248816).

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

13142224 is a wasteful number, since it uses less digits than its factorization.

13142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2581 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 13142224 is about 3625.2205450152. The cubic root of 13142224 is about 235.9878381169.

Adding to 13142224 its reverse (42224131), we get a palindrome (55366355).

It can be divided in two parts, 13142 and 224, that added together give a triangular number (13366 = T163).

The spelling of 13142224 in words is "thirteen million, one hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 304 323 646 1292 2543 2584 5086 5168 10172 20344 40688 43231 48317 86462 96634 172924 193268 345848 386536 691696 773072 821389 1642778 3285556 6571112 13142224