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5012221000 = 23534722269
BaseRepresentation
bin1001010101100000…
…00110110001001000
3110221022101012121211
410222300012301020
540231112033000
62145205142504
7235131114133
oct45260066110
913838335554
105012221000
1121422a4906
12b7a6baa34
1361b54a357
1435796321a
151e506c7ba
hex12ac06c48

5012221000 has 96 divisors (see below), whose sum is σ = 11988732600. Its totient is φ = 1961366400.

The previous prime is 5012220979. The next prime is 5012221007. The reversal of 5012221000 is 1222105.

It can be written as a sum of positive squares in 4 ways, for example, as 393387556 + 4618833444 = 19834^2 + 67962^2 .

It is not an unprimeable number, because it can be changed into a prime (5012221007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2207866 + ... + 2210134.

Almost surely, 25012221000 is an apocalyptic number.

5012221000 is a gapful number since it is divisible by the number (50) 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 5012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994366300).

5012221000 is an abundant number, since it is smaller than the sum of its proper divisors (6976511600).

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

5012221000 is a wasteful number, since it uses less digits than its factorization.

5012221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 5012221000 is about 70797.0408986138. The cubic root of 5012221000 is about 1711.3679875528.

Adding to 5012221000 its reverse (1222105), we get a palindrome (5013443105).

The spelling of 5012221000 in words is "five billion, twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2209 2269 2350 4418 4538 4700 5875 8836 9076 9400 11045 11345 11750 17672 18152 22090 22690 23500 44180 45380 47000 55225 56725 88360 90760 106643 110450 113450 213286 220900 226900 276125 283625 426572 441800 453800 533215 552250 567250 853144 1066430 1104500 1134500 2132860 2209000 2269000 2666075 4265720 5012221 5332150 10024442 10664300 13330375 20048884 21328600 25061105 26660750 40097768 50122210 53321500 100244420 106643000 125305525 200488840 250611050 501222100 626527625 1002444200 1253055250 2506110500 5012221000