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13822056 = 233389719
BaseRepresentation
bin110100101110…
…100001101000
3222000020022000
4310232201220
512014301211
61212131000
7225325353
oct64564150
928006260
1013822056
117890796
124766a60
132b2c441
141b9b29a
151330656
hexd2e868

13822056 has 64 divisors (see below), whose sum is σ = 38880000. Its totient is φ = 4549248.

The previous prime is 13822031. The next prime is 13822093. The reversal of 13822056 is 65022831.

It is a super-4 number, since 4×138220564 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 18865 + ... + 19583.

It is an arithmetic number, because the mean of its divisors is an integer number (607500).

Almost surely, 213822056 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 13822056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440000).

13822056 is an abundant number, since it is smaller than the sum of its proper divisors (25057944).

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

13822056 is a wasteful number, since it uses less digits than its factorization.

13822056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13822056 is about 3717.8025767918. The cubic root of 13822056 is about 239.9887494726.

Adding to 13822056 its reverse (65022831), we get a palindrome (78844887).

The spelling of 13822056 in words is "thirteen million, eight hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 719 801 1068 1438 1602 2136 2157 2403 2876 3204 4314 4806 5752 6408 6471 8628 9612 12942 17256 19224 19413 25884 38826 51768 63991 77652 127982 155304 191973 255964 383946 511928 575919 767892 1151838 1535784 1727757 2303676 3455514 4607352 6911028 13822056