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22315014 = 2342353113
BaseRepresentation
bin101010100100…
…0000000000110
31112222201110000
41111020000012
521203040024
62114142130
7360450231
oct125100006
945881400
1022315014
1111661667
127581946
134814067
142d6c418
151e5bcc9
hex1548006

22315014 has 80 divisors (see below), whose sum is σ = 53631072. Its totient is φ = 6918912.

The previous prime is 22315003. The next prime is 22315019. The reversal of 22315014 is 41051322.

It is a super-3 number, since 3×223150143 (a number of 23 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22315019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197422 + ... + 197534.

Almost surely, 222315014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22315014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26815536).

22315014 is an abundant number, since it is smaller than the sum of its proper divisors (31316058).

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

22315014 is a wasteful number, since it uses less digits than its factorization.

22315014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22315014 is about 4723.8770094066. The cubic root of 22315014 is about 281.5349964430.

Adding to 22315014 its reverse (41051322), we get a palindrome (63366336).

The spelling of 22315014 in words is "twenty-two million, three hundred fifteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 81 106 113 138 159 162 207 226 318 339 414 477 621 678 954 1017 1219 1242 1431 1863 2034 2438 2599 2862 3051 3657 3726 4293 5198 5989 6102 7314 7797 8586 9153 10971 11978 15594 17967 18306 21942 23391 32913 35934 46782 53901 65826 70173 98739 107802 137747 140346 161703 197478 210519 275494 323406 413241 421038 485109 826482 970218 1239723 2479446 3719169 7438338 11157507 22315014