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2212319328 = 253414711959
BaseRepresentation
bin1000001111011101…
…0101000001100000
312201011212110120220
42003313111001200
514012323204303
61003305403040
7105552255402
oct20367250140
95634773526
102212319328
11a3588428a
12518a99480
13293455abb
1416db66b72
15ce352053
hex83dd5060

2212319328 has 96 divisors (see below), whose sum is σ = 6076062720. Its totient is φ = 704087040.

The previous prime is 2212319279. The next prime is 2212319339. The reversal of 2212319328 is 8239132122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179013 + ... + 190971.

It is an arithmetic number, because the mean of its divisors is an integer number (63292320).

Almost surely, 22212319328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212319328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038031360).

2212319328 is an abundant number, since it is smaller than the sum of its proper divisors (3863743392).

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

2212319328 is a wasteful number, since it uses less digits than its factorization.

2212319328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12060 (or 12052 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 2212319328 is about 47035.2987446662. The cubic root of 2212319328 is about 1303.0145678284.

The spelling of 2212319328 in words is "two billion, two hundred twelve million, three hundred nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 82 94 96 123 141 164 188 246 282 328 376 492 564 656 752 984 1128 1312 1504 1927 1968 2256 3854 3936 4512 5781 7708 11562 11959 15416 23124 23918 30832 35877 46248 47836 61664 71754 92496 95672 143508 184992 191344 287016 382688 490319 562073 574032 980638 1124146 1148064 1470957 1686219 1961276 2248292 2941914 3372438 3922552 4496584 5883828 6744876 7845104 8993168 11767656 13489752 15690208 17986336 23044993 23535312 26979504 46089986 47070624 53959008 69134979 92179972 138269958 184359944 276539916 368719888 553079832 737439776 1106159664 2212319328