Search a number
-
+
2212010000 = 2454221201
BaseRepresentation
bin1000001111011000…
…1001100000010000
312201011021202021022
42003312021200100
514012233310000
61003255015012
7105546526514
oct20366114020
95634252238
102212010000
11a35692942
1251896a468
13293378075
1416dac6144
15ce2e0585
hex83d89810

2212010000 has 50 divisors (see below), whose sum is σ = 5355521622. Its totient is φ = 884800000.

The previous prime is 2212009957. The next prime is 2212010057. The reversal of 2212010000 is 102122.

It can be written as a sum of positive squares in 5 ways, for example, as 676624144 + 1535385856 = 26012^2 + 39184^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2212010000.

It is an unprimeable number.

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, 100601 + ... + 120600.

Almost surely, 22212010000 is an apocalyptic number.

2212010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212010000 is an abundant number, since it is smaller than the sum of its proper divisors (3143511622).

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

2212010000 is an equidigital number, since it uses as much as digits as its factorization.

2212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221229 (or 221208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2212010000 is about 47032.0103759131. The cubic root of 2212010000 is about 1302.9538355354.

Adding to 2212010000 its reverse (102122), we get a palindrome (2212112122).

The spelling of 2212010000 in words is "two billion, two hundred twelve million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 221201 442402 884804 1106005 1769608 2212010 3539216 4424020 5530025 8848040 11060050 17696080 22120100 27650125 44240200 55300250 88480400 110600500 138250625 221201000 276501250 442402000 553002500 1106005000 2212010000