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13822002 = 234412081
BaseRepresentation
bin110100101110…
…100000110010
3222000020020000
4310232200302
512014301002
61212130430
7225325245
oct64564062
928006200
1013822002
117890747
124766a16
132b2c3cc
141b9b25c
15133061c
hexd2e832

13822002 has 40 divisors (see below), whose sum is σ = 31742172. Its totient is φ = 4492800.

The previous prime is 13821971. The next prime is 13822007. The reversal of 13822002 is 20022831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12257001 + 1565001 = 3501^2 + 1251^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13822007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 5602 + ... + 7682.

Almost surely, 213822002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13822002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871086).

13822002 is an abundant number, since it is smaller than the sum of its proper divisors (17920170).

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

13822002 is a wasteful number, since it uses less digits than its factorization.

13822002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13822002 is about 3717.7953144303. The cubic root of 13822002 is about 239.9884369429.

Adding to 13822002 its reverse (20022831), we get a palindrome (33844833).

The spelling of 13822002 in words is "thirteen million, eight hundred twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2081 2214 3321 4162 6243 6642 12486 18729 37458 56187 85321 112374 168561 170642 255963 337122 511926 767889 1535778 2303667 4607334 6911001 13822002