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2120332220 = 225412839137
BaseRepresentation
bin111111001100001…
…1011001110111100
312110202210000222222
41332120123032330
513320301112340
6550222024512
7103354345406
oct17630331674
95422700888
102120332220
11998965a86
124b2118138
1327a389566
1416185db76
15c62318b5
hex7e61b3bc

2120332220 has 48 divisors (see below), whose sum is σ = 4577918688. Its totient is φ = 824432640.

The previous prime is 2120332217. The next prime is 2120332267. The reversal of 2120332220 is 222330212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227492 + ... + 236628.

It is an arithmetic number, because the mean of its divisors is an integer number (95373306).

Almost surely, 22120332220 is an apocalyptic number.

2120332220 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 2120332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288959344).

2120332220 is an abundant number, since it is smaller than the sum of its proper divisors (2457586468).

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

2120332220 is a wasteful number, since it uses less digits than its factorization.

2120332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2120332220 is about 46047.0652702211. The cubic root of 2120332220 is about 1284.6987580329.

Adding to 2120332220 its reverse (222330212), we get a palindrome (2342662432).

The spelling of 2120332220 in words is "two billion, one hundred twenty million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 283 410 566 820 1132 1415 2830 5660 9137 11603 18274 23206 36548 45685 46412 58015 91370 116030 182740 232060 374617 749234 1498468 1873085 2585771 3746170 5171542 7492340 10343084 12928855 25857710 51715420 106016611 212033222 424066444 530083055 1060166110 2120332220