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2212001280 = 293251931163
BaseRepresentation
bin1000001111011000…
…0111011000000000
312201011021022022100
42003312013120000
514012233020110
61003254510400
7105546462216
oct20366073000
95634238270
102212001280
11a35687335
12518965400
132933740c8
1416dac2cb6
15ce2dcbc0
hex83d87600

2212001280 has 480 divisors, whose sum is σ = 8375178240. Its totient is φ = 537477120.

The previous prime is 2212001203. The next prime is 2212001293. The reversal of 2212001280 is 821002122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13570479 + ... + 13570641.

It is an arithmetic number, because the mean of its divisors is an integer number (17448288).

Almost surely, 22212001280 is an apocalyptic number.

2212001280 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 2212001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187589120).

2212001280 is an abundant number, since it is smaller than the sum of its proper divisors (6163176960).

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

2212001280 is a wasteful number, since it uses less digits than its factorization.

2212001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2212001280 is about 47031.9176730016. The cubic root of 2212001280 is about 1302.9521234014.

The spelling of 2212001280 in words is "two billion, two hundred twelve million, one thousand, two hundred eighty".