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2122248441060 = 223251110731633167
BaseRepresentation
bin11110111000011111110…
…111010100110011100100
321111212220010212002202100
4132320133313110303210
5234232331100103220
64302540353212100
7306220203052146
oct36703767246344
97455803762670
102122248441060
11749049a10a60
122a3380861030
13125186510a27
1474a08682c96
153a31056cd90
hex1ee1fdd4ce4

2122248441060 has 288 divisors, whose sum is σ = 7092825772032. Its totient is φ = 509354184960.

The previous prime is 2122248440959. The next prime is 2122248441067. The reversal of 2122248441060 is 601448422212.

2122248441060 is a `hidden beast` number, since 2 + 12 + 224 + 8 + 4 + 410 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2122248441067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 670111597 + ... + 670114763.

It is an arithmetic number, because the mean of its divisors is an integer number (24627867264).

Almost surely, 22122248441060 is an apocalyptic number.

2122248441060 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 2122248441060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546412886016).

2122248441060 is an abundant number, since it is smaller than the sum of its proper divisors (4970577330972).

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

2122248441060 is a wasteful number, since it uses less digits than its factorization.

2122248441060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2122248441060 in words is "two trillion, one hundred twenty-two billion, two hundred forty-eight million, four hundred forty-one thousand, sixty".