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1122820992 = 273223311367
BaseRepresentation
bin100001011101100…
…1110001110000000
32220020210012211200
41002323032032000
54244420232432
6303225541200
736552551406
oct10273161600
92806705750
101122820992
11526892037
12274044800
1314b811127
14a919d476
1568892a7c
hex42ece380

1122820992 has 192 divisors, whose sum is σ = 3482818560. Its totient is φ = 346199040.

The previous prime is 1122820991. The next prime is 1122821033. The reversal of 1122820992 is 2990282211.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122820991) by changing a digit.

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, 820693 + ... + 822059.

It is an arithmetic number, because the mean of its divisors is an integer number (18139680).

Almost surely, 21122820992 is an apocalyptic number.

1122820992 is a gapful number since it is divisible by the number (12) 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 1122820992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741409280).

1122820992 is an abundant number, since it is smaller than the sum of its proper divisors (2359997568).

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

1122820992 is a wasteful number, since it uses less digits than its factorization.

1122820992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1122820992 is about 33508.5211849165. The cubic root of 1122820992 is about 1039.3699931876.

The spelling of 1122820992 in words is "one billion, one hundred twenty-two million, eight hundred twenty thousand, nine hundred ninety-two".