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2045300000 = 2555113181
BaseRepresentation
bin111100111101000…
…1100110100100000
312021112121000010212
41321322030310200
513142044100000
6534541513252
7101453522522
oct17172146440
95245530125
102045300000
1195a578187
12490b72828
132679783b3
141558cba12
15be85ec35
hex79e8cd20

2045300000 has 144 divisors (see below), whose sum is σ = 5105626344. Its totient is φ = 806400000.

The previous prime is 2045299981. The next prime is 2045300017. The reversal of 2045300000 is 35402.

It can be written as a sum of positive squares in 12 ways, for example, as 1995230224 + 50069776 = 44668^2 + 7076^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11299910 + ... + 11300090.

Almost surely, 22045300000 is an apocalyptic number.

2045300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552813172).

2045300000 is an abundant number, since it is smaller than the sum of its proper divisors (3060326344).

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

2045300000 is an equidigital number, since it uses as much as digits as its factorization.

2045300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2045300000 is about 45224.9930901045. The cubic root of 2045300000 is about 1269.3625254665.

Adding to 2045300000 its reverse (35402), we get a palindrome (2045335402).

The spelling of 2045300000 in words is "two billion, forty-five million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 181 200 226 250 362 400 452 500 565 625 724 800 904 905 1000 1130 1250 1448 1808 1810 2000 2260 2500 2825 2896 3125 3616 3620 4000 4520 4525 5000 5650 5792 6250 7240 9040 9050 10000 11300 12500 14125 14480 18080 18100 20000 20453 22600 22625 25000 28250 28960 36200 40906 45200 45250 50000 56500 70625 72400 81812 90400 90500 100000 102265 113000 113125 141250 144800 163624 181000 204530 226000 226250 282500 327248 353125 362000 409060 452000 452500 511325 565000 565625 654496 706250 724000 818120 905000 1022650 1130000 1131250 1412500 1636240 1810000 2045300 2260000 2262500 2556625 2825000 3272480 3620000 4090600 4525000 5113250 5650000 8181200 9050000 10226500 11300000 12783125 16362400 18100000 20453000 25566250 40906000 51132500 63915625 81812000 102265000 127831250 204530000 255662500 409060000 511325000 1022650000 2045300000