Search a number
-
+
2212001020 = 225463238877
BaseRepresentation
bin1000001111011000…
…0111010011111100
312201011021021221201
42003312013103330
514012233013040
61003254505244
7105546461365
oct20366072374
95634237851
102212001020
11a35687119
12518965224
13293373c58
1416dac2b6c
15ce2dca9a
hex83d874fc

2212001020 has 24 divisors (see below), whose sum is σ = 4655254464. Its totient is φ = 882885696.

The previous prime is 2212000993. The next prime is 2212001021. The reversal of 2212001020 is 201002122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2212000988 and 2212001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212001021) 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 7 ways as a sum of consecutive naturals, for example, 110179 + ... + 128698.

It is an arithmetic number, because the mean of its divisors is an integer number (193968936).

Almost surely, 22212001020 is an apocalyptic number.

2212001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212001020 is an abundant number, since it is smaller than the sum of its proper divisors (2443253444).

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

2212001020 is a wasteful number, since it uses less digits than its factorization.

2212001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239349 (or 239347 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2212001020 is about 47031.9149089212. The cubic root of 2212001020 is about 1302.9520723515.

Adding to 2212001020 its reverse (201002122), we get a palindrome (2413003142).

The spelling of 2212001020 in words is "two billion, two hundred twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 463 926 1852 2315 4630 9260 238877 477754 955508 1194385 2388770 4777540 110600051 221200102 442400204 553000255 1106000510 2212001020