Search a number
-
+
1122820608 = 29371329277
BaseRepresentation
bin100001011101100…
…1110001000000000
32220020210012022110
41002323032020000
54244420224413
6303225535320
736552550320
oct10273161000
92806705273
101122820608
11526891818
12274044540
1314b810bc0
14a919d280
15688928c3
hex42ece200

1122820608 has 320 divisors, whose sum is σ = 3822255360. Its totient is φ = 284884992.

The previous prime is 1122820583. The next prime is 1122820619. The reversal of 1122820608 is 8060282211.

It is a super-2 number, since 2×11228206082 = 2521452235498979328, which contains 22 as substring.

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, 4053366 + ... + 4053642.

It is an arithmetic number, because the mean of its divisors is an integer number (11944548).

Almost surely, 21122820608 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 1122820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911127680).

1122820608 is an abundant number, since it is smaller than the sum of its proper divisors (2699434752).

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

1122820608 is a wasteful number, since it uses less digits than its factorization.

1122820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1122820608 is about 33508.5154550302. The cubic root of 1122820608 is about 1039.3698747009.

The spelling of 1122820608 in words is "one billion, one hundred twenty-two million, eight hundred twenty thousand, six hundred eight".