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2122022304 = 253269110663
BaseRepresentation
bin111111001111011…
…0111110110100000
312110212221220100200
41332132313312200
513321214203204
6550322145200
7103404614643
oct17636676640
95425856320
102122022304
1199990a846
124b27b2200
1327a82b8cc
14161b7da5a
15c6467539
hex7e7b7da0

2122022304 has 72 divisors (see below), whose sum is σ = 6043800672. Its totient is φ = 706250880.

The previous prime is 2122022291. The next prime is 2122022333. The reversal of 2122022304 is 4032202212.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193677 + ... + 204339.

It is an arithmetic number, because the mean of its divisors is an integer number (83941676).

Almost surely, 22122022304 is an apocalyptic number.

2122022304 is a gapful number since it is divisible by the number (24) 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 2122022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021900336).

2122022304 is an abundant number, since it is smaller than the sum of its proper divisors (3921778368).

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

2122022304 is a wasteful number, since it uses less digits than its factorization.

2122022304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11370 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2122022304 is about 46065.4133162832. The cubic root of 2122022304 is about 1285.0400052144.

Adding to 2122022304 its reverse (4032202212), we get a palindrome (6154224516).

The spelling of 2122022304 in words is "two billion, one hundred twenty-two million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 691 1382 2073 2764 4146 5528 6219 8292 10663 11056 12438 16584 21326 22112 24876 31989 33168 42652 49752 63978 66336 85304 95967 99504 127956 170608 191934 199008 255912 341216 383868 511824 767736 1023648 1535472 3070944 7368133 14736266 22104399 29472532 44208798 58945064 66313197 88417596 117890128 132626394 176835192 235780256 265252788 353670384 530505576 707340768 1061011152 2122022304