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2212414332120 = 233352048531789
BaseRepresentation
bin100000001100011110001…
…010111001110011011000
321211111121221212221122000
4200030132022321303120
5242222011032111440
64412211421201000
7315561455352126
oct40143612716330
97744557787560
102212414332120
117833092384a3
122b8945100160
13130825806ca5
147911d604916
153c83b267730
hex2031e2b9cd8

2212414332120 has 64 divisors (see below), whose sum is σ = 7374714444000. Its totient is φ = 589977154944.

The previous prime is 2212414332119. The next prime is 2212414332151. The reversal of 2212414332120 is 212334142122.

2212414332120 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 414 + 33 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1024264815 + ... + 1024266974.

Almost surely, 22212414332120 is an apocalyptic number.

2212414332120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212414332120 is an abundant number, since it is smaller than the sum of its proper divisors (5162300111880).

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

2212414332120 is a wasteful number, since it uses less digits than its factorization.

2212414332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048531809 (or 2048531799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2212414332120 its reverse (212334142122), we get a palindrome (2424748474242).

The spelling of 2212414332120 in words is "two trillion, two hundred twelve billion, four hundred fourteen million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2048531789 4097063578 6145595367 8194127156 10242658945 12291190734 16388254312 18436786101 20485317890 24582381468 30727976835 36873572202 40970635780 49164762936 55310358303 61455953670 73747144404 81941271560 92183930505 110620716606 122911907340 147494288808 184367861010 221241433212 245823814680 276551791515 368735722020 442482866424 553103583030 737471444040 1106207166060 2212414332120