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2205150000 = 2435561241
BaseRepresentation
bin1000001101101111…
…1110101100110000
312200200101020010020
42003123332230300
514004004300000
61002452003440
7105434315514
oct20333765460
95620336106
102205150000
11a31827919
12516600580
13291b157b1
1416cc1c144
15cd8d7ba0
hex836feb30

2205150000 has 240 divisors, whose sum is σ = 7267097376. Its totient is φ = 576000000.

The previous prime is 2205149981. The next prime is 2205150007. The reversal of 2205150000 is 515022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205150007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9149880 + ... + 9150120.

Almost surely, 22205150000 is an apocalyptic number.

2205150000 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 2205150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633548688).

2205150000 is an abundant number, since it is smaller than the sum of its proper divisors (5061947376).

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

2205150000 is an equidigital number, since it uses as much as digits as its factorization.

2205150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2205150000 is about 46959.0246917459. The cubic root of 2205150000 is about 1301.6055114320.

Adding to 2205150000 its reverse (515022), we get a palindrome (2205665022).

The spelling of 2205150000 in words is "two billion, two hundred five million, one hundred fifty thousand".