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2000022132 = 2232317940483
BaseRepresentation
bin111011100110101…
…1110101001110100
312011101101122120210
41313031132221310
513044001202012
6530243225420
7100363623213
oct16715365164
95141348523
102000022132
11936a62259
12479978270
1325b484464
1414d8a307a
15ba8b923c
hex7735ea74

2000022132 has 48 divisors (see below), whose sum is σ = 4896944640. Its totient is φ = 634110048.

The previous prime is 2000022131. The next prime is 2000022139. The reversal of 2000022132 is 2312200002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000022131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29163 + ... + 69645.

It is an arithmetic number, because the mean of its divisors is an integer number (102019680).

Almost surely, 22000022132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448472320).

2000022132 is an abundant number, since it is smaller than the sum of its proper divisors (2896922508).

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

2000022132 is a wasteful number, since it uses less digits than its factorization.

2000022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40692 (or 40690 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000022132 is about 44721.6069925936. The cubic root of 2000022132 is about 1259.9256973065.

Adding to 2000022132 its reverse (2312200002), we get a palindrome (4312222134).

The spelling of 2000022132 in words is "two billion, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 179 276 358 537 716 1074 2148 4117 8234 12351 16468 24702 40483 49404 80966 121449 161932 242898 485796 931109 1862218 2793327 3724436 5586654 7246457 11173308 14492914 21739371 28985828 43478742 86957484 166668511 333337022 500005533 666674044 1000011066 2000022132