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1084222080 = 27325199907
BaseRepresentation
bin100000010011111…
…1110101010000000
32210120011012002100
41000213332222000
54210030101310
6255330350400
735603510214
oct10047765200
92716135070
101084222080
11507019107
1226312b400
13143818236
14a3dd2944
15652baec0
hex409fea80

1084222080 has 192 divisors, whose sum is σ = 3941402400. Its totient is φ = 273881088.

The previous prime is 1084222067. The next prime is 1084222123. The reversal of 1084222080 is 802224801.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 104487 + ... + 114393.

Almost surely, 21084222080 is an apocalyptic number.

1084222080 is a gapful number since it is divisible by the number (10) 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 1084222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970701200).

1084222080 is an abundant number, since it is smaller than the sum of its proper divisors (2857180320).

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

1084222080 is a wasteful number, since it uses less digits than its factorization.

1084222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1084222080 is about 32927.5276934057. The cubic root of 1084222080 is about 1027.3208027489.

Adding to 1084222080 its reverse (802224801), we get a palindrome (1886446881).

The spelling of 1084222080 in words is "one billion, eighty-four million, two hundred twenty-two thousand, eighty".