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34022144223 = 3229475235303
BaseRepresentation
bin11111101011111000…
…001011100011011111
310020211001122222222200
4133223320023203133
51024134132103343
623343552342543
72313046311564
oct375370134337
9106731588880
1034022144223
1113479682571
126715b44a53
13329276abb2
14190a6c486b
15d41cc54d3
hex7ebe0b8df

34022144223 has 48 divisors (see below), whose sum is σ = 52028421120. Its totient is φ = 21388352832.

The previous prime is 34022144201. The next prime is 34022144231. The reversal of 34022144223 is 32244122043.

34022144223 is a `hidden beast` number, since 3 + 402 + 214 + 42 + 2 + 3 = 666.

It is not a de Polignac number, because 34022144223 - 218 = 34021882079 is a prime.

It is a super-2 number, since 2×340221442232 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34022144323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6412990 + ... + 6418292.

It is an arithmetic number, because the mean of its divisors is an integer number (1083925440).

Almost surely, 234022144223 is an apocalyptic number.

34022144223 is a deficient number, since it is larger than the sum of its proper divisors (18006276897).

34022144223 is a wasteful number, since it uses less digits than its factorization.

34022144223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34022144223 its reverse (32244122043), we get a palindrome (66266266266).

The spelling of 34022144223 in words is "thirty-four billion, twenty-two million, one hundred forty-four thousand, two hundred twenty-three".

Divisors: 1 3 9 29 47 87 141 261 423 523 1363 1569 4089 4707 5303 12267 15167 15909 24581 45501 47727 73743 136503 153787 221229 249241 461361 712849 747723 1384083 2138547 2243169 2773469 6415641 7227989 8320407 21683967 24961221 65051901 80430601 130353043 241291803 391059129 723875409 1173177387 3780238247 11340714741 34022144223