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2189140992 = 2103426393
BaseRepresentation
bin1000001001111011…
…1010010000000000
312122120020212220000
42002132322100000
513440410002432
61001120520000
7105151251153
oct20236722000
95576225800
102189140992
11a23793035
12511180000
1328b6cbacc
1416aa51c9a
15cc2c457c
hex827ba400

2189140992 has 110 divisors (see below), whose sum is σ = 6537450678. Its totient is φ = 729686016.

The previous prime is 2189140979. The next prime is 2189140999. The reversal of 2189140992 is 2990419812.

It can be written as a sum of positive squares in only one way, i.e., 1816805376 + 372335616 = 42624^2 + 19296^2 .

It is not an unprimeable number, because it can be changed into a prime (2189140999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 69748 + ... + 96140.

Almost surely, 22189140992 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 2189140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268725339).

2189140992 is an abundant number, since it is smaller than the sum of its proper divisors (4348309686).

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

2189140992 is an equidigital number, since it uses as much as digits as its factorization.

2189140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26425 (or 26398 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 2189140992 is about 46788.2569882658. The cubic root of 2189140992 is about 1298.4480478049.

The spelling of 2189140992 in words is "two billion, one hundred eighty-nine million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 26393 27648 41472 52786 79179 82944 105572 158358 211144 237537 316716 422288 475074 633432 712611 844576 950148 1266864 1425222 1689152 1900296 2137833 2533728 2850444 3378304 3800592 4275666 5067456 5700888 6756608 7601184 8551332 10134912 11401776 13513216 15202368 17102664 20269824 22803552 27026432 30404736 34205328 40539648 45607104 60809472 68410656 81079296 91214208 121618944 136821312 182428416 243237888 273642624 364856832 547285248 729713664 1094570496 2189140992