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2034320022 = 23476312843
BaseRepresentation
bin111100101000001…
…0100001010010110
312020202221011110000
41321100110022112
513131241220042
6533510312130
7101261302110
oct17120241226
95222834400
102034320022
11954358819
12489358646
13265602777
141542703b0
15bd8e174c
hex79414296

2034320022 has 80 divisors (see below), whose sum is σ = 5219672832. Its totient is φ = 580109040.

The previous prime is 2034320009. The next prime is 2034320027. The reversal of 2034320022 is 2200234302.

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 = 2034319977 and 2034320004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034320027) 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 39 ways as a sum of consecutive naturals, for example, 714133 + ... + 716975.

Almost surely, 22034320022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034320022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609836416).

2034320022 is an abundant number, since it is smaller than the sum of its proper divisors (3185352810).

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

2034320022 is a wasteful number, since it uses less digits than its factorization.

2034320022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3486 counting only the distinct ones).

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

The square root of 2034320022 is about 45103.4369200397. The cubic root of 2034320022 is about 1267.0869688158.

Adding to 2034320022 its reverse (2200234302), we get a palindrome (4234554324).

The spelling of 2034320022 in words is "two billion, thirty-four million, three hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 631 1134 1262 1893 2843 3786 4417 5679 5686 8529 8834 11358 13251 17037 17058 19901 25587 26502 34074 39753 39802 51111 51174 59703 76761 79506 102222 119259 119406 153522 179109 230283 238518 357777 358218 460566 537327 715554 1074654 1611981 1793933 3223962 3587866 5381799 10763598 12557531 16145397 25115062 32290794 37672593 48436191 75345186 96872382 113017779 145308573 226035558 290617146 339053337 678106674 1017160011 2034320022