Search a number
-
+
2122112220 = 223579447703
BaseRepresentation
bin111111001111100…
…1101110011011100
312110220010110200220
41332133031303130
513321230042340
6550324121340
7103405441044
oct17637156334
95426113626
102122112220
11999971358
124b2836250
1327a860807
14161ba4724
15c6483ed0
hex7e7cdcdc

2122112220 has 48 divisors (see below), whose sum is σ = 6017141760. Its totient is φ = 558732096.

The previous prime is 2122112219. The next prime is 2122112231. The reversal of 2122112220 is 222112212.

2122112220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219112 + ... + 228591.

It is an arithmetic number, because the mean of its divisors is an integer number (125357120).

Almost surely, 22122112220 is an apocalyptic number.

2122112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122112220 is an abundant number, since it is smaller than the sum of its proper divisors (3895029540).

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

2122112220 is a wasteful number, since it uses less digits than its factorization.

2122112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447794 (or 447792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2122112220 is about 46066.3892659279. The cubic root of 2122112220 is about 1285.0581552003.

Adding to 2122112220 its reverse (222112212), we get a palindrome (2344224432).

The spelling of 2122112220 in words is "two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 447703 895406 1343109 1790812 2238515 2686218 4477030 5372436 6715545 8954060 13431090 26862180 35368537 70737074 106105611 141474148 176842685 212211222 353685370 424422444 530528055 707370740 1061056110 2122112220