Search a number
-
+
220212020 = 22573494507
BaseRepresentation
bin11010010000000…
…10101100110100
3120100100221002202
431020002230310
5422333241040
633503524032
75312525360
oct1510025464
9510327082
10220212020
11103338606
12618b9618
1336813092
14213642a0
15144ed015
hexd202b34

220212020 has 48 divisors (see below), whose sum is σ = 530140800. Its totient is φ = 75268224.

The previous prime is 220211989. The next prime is 220212023. The reversal of 220212020 is 20212022.

It is a junction number, because it is equal to n+sod(n) for n = 220211992 and 220212010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46607 + ... + 51113.

It is an arithmetic number, because the mean of its divisors is an integer number (11044600).

Almost surely, 2220212020 is an apocalyptic number.

220212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212020 is an abundant number, since it is smaller than the sum of its proper divisors (309928780).

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

220212020 is a wasteful number, since it uses less digits than its factorization.

220212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4872 (or 4870 counting only the distinct ones).

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

The square root of 220212020 is about 14839.5424457764. The cubic root of 220212020 is about 603.8749393868.

Adding to 220212020 its reverse (20212022), we get a palindrome (240424042).

The spelling of 220212020 in words is "two hundred twenty million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 349 698 1396 1745 2443 3490 4507 4886 6980 9014 9772 12215 18028 22535 24430 31549 45070 48860 63098 90140 126196 157745 315490 630980 1572943 3145886 6291772 7864715 11010601 15729430 22021202 31458860 44042404 55053005 110106010 220212020