Search a number
-
+
2210211000 = 2332532411019
BaseRepresentation
bin1000001110111101…
…0010010010111000
312201000220100111200
42003233102102320
514011303223000
61003152254200
7105525324564
oct20357222270
95630810450
102210211000
11a34674268
12518241360
13292b9827a
1416d7786a4
15ce087500
hex83bd24b8

2210211000 has 192 divisors, whose sum is σ = 7508872800. Its totient is φ = 586368000.

The previous prime is 2210210963. The next prime is 2210211023. The reversal of 2210211000 is 1120122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2168491 + ... + 2169509.

Almost surely, 22210211000 is an apocalyptic number.

2210211000 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 2210211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754436400).

2210211000 is an abundant number, since it is smaller than the sum of its proper divisors (5298661800).

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

2210211000 is a wasteful number, since it uses less digits than its factorization.

2210211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2210211000 is about 47012.8812135568. The cubic root of 2210211000 is about 1302.6005143946.

Adding to 2210211000 its reverse (1120122), we get a palindrome (2211331122).

The spelling of 2210211000 in words is "two billion, two hundred ten million, two hundred eleven thousand".