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2212793856 = 29337131759
BaseRepresentation
bin1000001111100100…
…1000111000000000
312201012202120112000
42003321020320000
514012433400411
61003323504000
7105556303020
oct20371107000
95635676460
102212793856
11a36078859
12519088000
13293590aa0
1416dc4ba80
15ce3e7956
hex83e48e00

2212793856 has 320 divisors, whose sum is σ = 8066150400. Its totient is φ = 583262208.

The previous prime is 2212793819. The next prime is 2212793897. The reversal of 2212793856 is 6583972122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257105 + ... + 1258863.

It is an arithmetic number, because the mean of its divisors is an integer number (25206720).

Almost surely, 22212793856 is an apocalyptic number.

2212793856 is a gapful number since it is divisible by the number (26) 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 2212793856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033075200).

2212793856 is an abundant number, since it is smaller than the sum of its proper divisors (5853356544).

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

2212793856 is a wasteful number, since it uses less digits than its factorization.

2212793856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1784 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2212793856 is about 47040.3428558934. The cubic root of 2212793856 is about 1303.1077238639.

The spelling of 2212793856 in words is "two billion, two hundred twelve million, seven hundred ninety-three thousand, eight hundred fifty-six".