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2033213022 = 2331710121929
BaseRepresentation
bin111100100110000…
…0101111001011110
312020200211220221000
41321030011321132
513131000304042
6533430451130
7101246011521
oct17114057136
95220756830
102033213022
11953772045
12488b03aa6
13265305939
14154062bb8
15bd77374c
hex79305e5e

2033213022 has 64 divisors (see below), whose sum is σ = 4831617600. Its totient is φ = 631526400.

The previous prime is 2033212991. The next prime is 2033213033. The reversal of 2033213022 is 2203123302.

It is a happy number.

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 = 2033212986 and 2033213004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81754 + ... + 103682.

It is an arithmetic number, because the mean of its divisors is an integer number (75494025).

Almost surely, 22033213022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033213022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415808800).

2033213022 is an abundant number, since it is smaller than the sum of its proper divisors (2798404578).

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

2033213022 is a wasteful number, since it uses less digits than its factorization.

2033213022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22058 (or 22052 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2033213022 is about 45091.1634580435. The cubic root of 2033213022 is about 1266.8570935156.

Adding to 2033213022 its reverse (2203123302), we get a palindrome (4236336324).

The spelling of 2033213022 in words is "two billion, thirty-three million, two hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 303 306 459 606 909 918 1717 1818 2727 3434 5151 5454 10302 15453 21929 30906 43858 46359 65787 92718 131574 197361 372793 394722 592083 745586 1118379 1184166 2214829 2236758 3355137 4429658 6644487 6710274 10065411 13288974 19933461 20130822 37652093 39866922 59800383 75304186 112956279 119600766 225912558 338868837 677737674 1016606511 2033213022