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22034034 = 23211195857
BaseRepresentation
bin101010000001…
…1011001110010
31112110110000100
41110003121302
521120042114
62104133230
7355200111
oct124033162
945413010
1022034034
111148a550
127467216
1347461b9
142cd7c78
151e03909
hex1503672

22034034 has 48 divisors (see below), whose sum is σ = 54830880. Its totient is φ = 6324480.

The previous prime is 22034029. The next prime is 22034041. The reversal of 22034034 is 43043022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22033998 and 22034016.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 834 + ... + 6690.

It is an arithmetic number, because the mean of its divisors is an integer number (1142310).

Almost surely, 222034034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22034034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27415440).

22034034 is an abundant number, since it is smaller than the sum of its proper divisors (32796846).

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

22034034 is a wasteful number, since it uses less digits than its factorization.

22034034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22034034 is about 4694.0423943548. The cubic root of 22034034 is about 280.3483504480.

Adding to 22034034 its reverse (43043022), we get a palindrome (65077056).

The spelling of 22034034 in words is "twenty-two million, thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 5857 11714 17571 35142 52713 64427 105426 111283 128854 193281 222566 333849 386562 579843 667698 1001547 1159686 1224113 2003094 2448226 3672339 7344678 11017017 22034034