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22134042 = 2327971811
BaseRepresentation
bin101010001101…
…1110100011010
31112122112012100
41110123310122
521131242132
62110224230
7356064510
oct124336432
945575170
1022134042
11115486a7
1274b5076
13477c888
142d224b0
151e2337c
hex151bd1a

22134042 has 48 divisors (see below), whose sum is σ = 55403712. Its totient is φ = 6255360.

The previous prime is 22134041. The next prime is 22134043. The reversal of 22134042 is 24043122.

It is an interprime number because it is at equal distance from previous prime (22134041) and next prime (22134043).

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 (22134041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11317 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (1154244).

Almost surely, 222134042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27701856).

22134042 is an abundant number, since it is smaller than the sum of its proper divisors (33269670).

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

22134042 is a wasteful number, since it uses less digits than its factorization.

22134042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22134042 is about 4704.6829861320. The cubic root of 22134042 is about 280.7718584065.

Adding to 22134042 its reverse (24043122), we get a palindrome (46177164).

The spelling of 22134042 in words is "twenty-two million, one hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 1811 2037 3622 4074 5433 6111 10866 12222 12677 16299 25354 32598 38031 76062 114093 175667 228186 351334 527001 1054002 1229669 1581003 2459338 3162006 3689007 7378014 11067021 22134042