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2212973280 = 253257279397
BaseRepresentation
bin1000001111100111…
…0100101011100000
312201020002200122100
42003321310223200
514013010121110
61003331410400
7105560651100
oct20371645340
95636080570
102212973280
11a36190641
12519153a00
1329362465b
1416dc97200
15ce430bc0
hex83e74ae0

2212973280 has 432 divisors, whose sum is σ = 8918320320. Its totient is φ = 498161664.

The previous prime is 2212973207. The next prime is 2212973297. The reversal of 2212973280 is 823792122.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5574042 + ... + 5574438.

It is an arithmetic number, because the mean of its divisors is an integer number (20644260).

Almost surely, 22212973280 is an apocalyptic number.

2212973280 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 2212973280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459160160).

2212973280 is an abundant number, since it is smaller than the sum of its proper divisors (6705347040).

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

2212973280 is a wasteful number, since it uses less digits than its factorization.

2212973280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2212973280 is about 47042.2499461920. The cubic root of 2212973280 is about 1303.1429436654.

The spelling of 2212973280 in words is "two billion, two hundred twelve million, nine hundred seventy-three thousand, two hundred eighty".