Search a number
-
+
2040223212 = 22323115112107
BaseRepresentation
bin111100110011011…
…0101010111101100
312021012001002002200
41321212311113230
513134244120322
6534241021500
7101362416426
oct17146652754
95235032080
102040223212
1195771a995
1248b324890
132668bb691
14154d69816
15be1aa8ac
hex799b55ec

2040223212 has 72 divisors (see below), whose sum is σ = 5359291392. Its totient is φ = 653724000.

The previous prime is 2040223201. The next prime is 2040223277. The reversal of 2040223212 is 2123220402.

2040223212 is a `hidden beast` number, since 20 + 402 + 232 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 162463 + ... + 174569.

Almost surely, 22040223212 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 2040223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679645696).

2040223212 is an abundant number, since it is smaller than the sum of its proper divisors (3319068180).

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

2040223212 is a wasteful number, since it uses less digits than its factorization.

2040223212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2040223212 is about 45168.8300933287. The cubic root of 2040223212 is about 1268.3113962525.

Adding to 2040223212 its reverse (2123220402), we get a palindrome (4163443614).

The spelling of 2040223212 in words is "two billion, forty million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 151 186 279 302 372 453 558 604 906 1116 1359 1812 2718 4681 5436 9362 12107 14043 18724 24214 28086 36321 42129 48428 56172 72642 84258 108963 145284 168516 217926 375317 435852 750634 1125951 1501268 1828157 2251902 3377853 3656314 4503804 5484471 6755706 7312628 10968942 13511412 16453413 21937884 32906826 56672867 65813652 113345734 170018601 226691468 340037202 510055803 680074404 1020111606 2040223212