Search a number
-
+
2201222000 = 24531100611
BaseRepresentation
bin1000001100110011…
…1111101101110000
312200101222122220202
42003030333231300
514002003101000
61002231454332
7105356035565
oct20314775560
95611878822
102201222000
11a2a59473a
125152273a8
1329106b933
1416c4b886c
15cd3addd5
hex8333fb70

2201222000 has 40 divisors (see below), whose sum is σ = 5322559632. Its totient is φ = 880488000.

The previous prime is 2201221993. The next prime is 2201222021. The reversal of 2201222000 is 2221022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 548306 + ... + 552305.

Almost surely, 22201222000 is an apocalyptic number.

2201222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201222000 is an abundant number, since it is smaller than the sum of its proper divisors (3121337632).

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

2201222000 is a wasteful number, since it uses less digits than its factorization.

2201222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100634 (or 1100618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2201222000 is about 46917.1823535898. The cubic root of 2201222000 is about 1300.8322087564.

Adding to 2201222000 its reverse (2221022), we get a palindrome (2203443022).

The spelling of 2201222000 in words is "two billion, two hundred one million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1100611 2201222 4402444 5503055 8804888 11006110 17609776 22012220 27515275 44024440 55030550 88048880 110061100 137576375 220122200 275152750 440244400 550305500 1100611000 2201222000