Search a number
-
+
2212211221120 = 2753456580033
BaseRepresentation
bin100000001100010010000…
…100000110001010000000
321211111002210200211201101
4200030102010012022000
5242221102033033440
64412135323544144
7315553441056565
oct40142204061200
97744083624641
102212211221120
1178321462016a
122b88a908b054
131307c2700974
147910065286c
153c8284e669a
hex20312106280

2212211221120 has 32 divisors (see below), whose sum is σ = 5288567452020. Its totient is φ = 884884488192.

The previous prime is 2212211221117. The next prime is 2212211221139. The reversal of 2212211221120 is 211221122122.

It can be written as a sum of positive squares in 2 ways, for example, as 2162852600896 + 49358620224 = 1470664^2 + 222168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1728289377 + ... + 1728290656.

Almost surely, 22212211221120 is an apocalyptic number.

2212211221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212211221120 is an abundant number, since it is smaller than the sum of its proper divisors (3076356230900).

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

2212211221120 is an equidigital number, since it uses as much as digits as its factorization.

2212211221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456580052 (or 3456580040 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 2212211221120 its reverse (211221122122), we get a palindrome (2423432343242).

The spelling of 2212211221120 in words is "two trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3456580033 6913160066 13826320132 17282900165 27652640264 34565800330 55305280528 69131600660 110610561056 138263201320 221221122112 276526402640 442442244224 553052805280 1106105610560 2212211221120