Search a number
-
+
2212012020 = 223543857369
BaseRepresentation
bin1000001111011000…
…1001111111110100
312201011021212001010
42003312021333310
514012233341040
61003255032220
7105546535431
oct20366117764
95634255033
102212012020
11a35694409
1251896b670
13293378c6a
1416dac6b88
15ce2e0e80
hex83d89ff4

2212012020 has 48 divisors (see below), whose sum is σ = 6337679040. Its totient is φ = 576151296.

The previous prime is 2212012013. The next prime is 2212012021. The reversal of 2212012020 is 202102122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2212011987 and 2212012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212012021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426105 + ... + 431264.

It is an arithmetic number, because the mean of its divisors is an integer number (132034980).

Almost surely, 22212012020 is an apocalyptic number.

2212012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212012020 is an abundant number, since it is smaller than the sum of its proper divisors (4125667020).

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

2212012020 is a wasteful number, since it uses less digits than its factorization.

2212012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857424 (or 857422 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2212012020 is about 47032.0318506441. The cubic root of 2212012020 is about 1302.9542321529.

Adding to 2212012020 its reverse (202102122), we get a palindrome (2414114142).

The spelling of 2212012020 in words is "two billion, two hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 857369 1714738 2572107 3429476 4286845 5144214 8573690 10288428 12860535 17147380 25721070 36866867 51442140 73733734 110600601 147467468 184334335 221201202 368668670 442402404 553003005 737337340 1106006010 2212012020