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2226830848 = 29112711459
BaseRepresentation
bin1000010010111010…
…1011111000000000
312202012011201122121
42010232223320000
514030032041343
61004544414024
7106116515134
oct20456537000
95665151577
102226830848
11a42a95a80
12521917314
13296466cb8
14171a633c4
15d076baed
hex84babe00

2226830848 has 80 divisors (see below), whose sum is σ = 4875045120. Its totient is φ = 1007769600.

The previous prime is 2226830839. The next prime is 2226830863. The reversal of 2226830848 is 8480386222.

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 7 ways as a sum of consecutive naturals, for example, 1525543 + ... + 1527001.

It is an arithmetic number, because the mean of its divisors is an integer number (60938064).

Almost surely, 22226830848 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 2226830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437522560).

2226830848 is an abundant number, since it is smaller than the sum of its proper divisors (2648214272).

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

2226830848 is a wasteful number, since it uses less digits than its factorization.

2226830848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 2226830848 is about 47189.3086196439. The cubic root of 2226830848 is about 1305.8573654818.

The spelling of 2226830848 in words is "two billion, two hundred twenty-six million, eight hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 271 352 512 542 704 1084 1408 1459 2168 2816 2918 2981 4336 5632 5836 5962 8672 11672 11924 16049 17344 23344 23848 32098 34688 46688 47696 64196 69376 93376 95392 128392 138752 186752 190784 256784 373504 381568 395389 513568 747008 763136 790778 1027136 1526272 1581556 2054272 3163112 4108544 4349279 6326224 8217088 8698558 12652448 17397116 25304896 34794232 50609792 69588464 101219584 139176928 202439168 278353856 556707712 1113415424 2226830848