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2040432212 = 2271323251971
BaseRepresentation
bin111100110011110…
…1000011001010100
312021012102200210102
41321213220121110
513134322312322
6534245313232
7101364246650
oct17147503124
95235380712
102040432212
11957852a15
1248b405818
13266962850
14154dc1a60
15be1ec792
hex799e8654

2040432212 has 96 divisors (see below), whose sum is σ = 4608866304. Its totient is φ = 768240000.

The previous prime is 2040432209. The next prime is 2040432227. The reversal of 2040432212 is 2122340402.

It is a super-2 number, since 2×20404322122 = 8326727223534425888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100887 + ... + 2101857.

It is an arithmetic number, because the mean of its divisors is an integer number (48009024).

Almost surely, 22040432212 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 2040432212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304433152).

2040432212 is an abundant number, since it is smaller than the sum of its proper divisors (2568434092).

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

2040432212 is a wasteful number, since it uses less digits than its factorization.

2040432212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2040432212 is about 45171.1435764028. The cubic root of 2040432212 is about 1268.3547032837.

Adding to 2040432212 its reverse (2122340402), we get a palindrome (4162772614).

The spelling of 2040432212 in words is "two billion, forty million, four hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 251 299 322 364 502 598 644 971 1004 1196 1757 1942 2093 3263 3514 3884 4186 5773 6526 6797 7028 8372 11546 12623 13052 13594 22333 22841 23092 25246 27188 40411 44666 45682 50492 75049 80822 88361 89332 91364 150098 156331 161644 176722 243721 290329 300196 312662 353444 487442 525343 580658 625324 974884 1050686 1161316 1706047 2032303 2101372 3168373 3412094 4064606 5605583 6336746 6824188 8129212 11211166 12673492 22178611 22422332 39239081 44357222 72872579 78478162 88714444 145745158 156956324 291490316 510108053 1020216106 2040432212