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2212352302120 = 235552011001953
BaseRepresentation
bin100000001100011010011…
…110010001110000101000
321211111110122011111110121
4200030122132101300220
5242221344142131440
64412201323453024
7315560103201502
oct40143236216050
97744418144417
102212352302120
11783287220434
122b8928387174
131308159c904c
1479115298d72
153c835ab334a
hex2031a791c28

2212352302120 has 32 divisors (see below), whose sum is σ = 4977887823720. Its totient is φ = 884924006400.

The previous prime is 2212352302117. The next prime is 2212352302123. The reversal of 2212352302120 is 212032532122.

It is an interprime number because it is at equal distance from previous prime (2212352302117) and next prime (2212352302123).

It can be written as a sum of positive squares in 4 ways, for example, as 398153428036 + 1814198874084 = 630994^2 + 1346922^2 .

It is not an unprimeable number, because it can be changed into a prime (2212352302123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1707064 + ... + 2709016.

Almost surely, 22212352302120 is an apocalyptic number.

2212352302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212352302120 is an abundant number, since it is smaller than the sum of its proper divisors (2765535521600).

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

2212352302120 is a wasteful number, since it uses less digits than its factorization.

2212352302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057165 (or 1057161 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 2212352302120 its reverse (212032532122), we get a palindrome (2424384834242).

The spelling of 2212352302120 in words is "two trillion, two hundred twelve billion, three hundred fifty-two million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 55201 110402 220804 276005 441608 552010 1001953 1104020 2003906 2208040 4007812 5009765 8015624 10019530 20039060 40078120 55308807553 110617615106 221235230212 276544037765 442470460424 553088075530 1106176151060 2212352302120