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1225888728 = 233531079007
BaseRepresentation
bin100100100010001…
…1001001111011000
310011102201121012020
41021010121033120
510002311414403
6321351014440
742243611421
oct11104311730
93142647166
101225888728
11579a89389
122a266a420
13166c8a05c
14b8b4c648
1572951453
hex491193d8

1225888728 has 64 divisors (see below), whose sum is σ = 3152079360. Its totient is φ = 397128576.

The previous prime is 1225888723. The next prime is 1225888771. The reversal of 1225888728 is 8278885221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225888723) 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 15 ways as a sum of consecutive naturals, for example, 131601 + ... + 140607.

It is an arithmetic number, because the mean of its divisors is an integer number (49251240).

Almost surely, 21225888728 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 1225888728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576039680).

1225888728 is an abundant number, since it is smaller than the sum of its proper divisors (1926190632).

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

1225888728 is a wasteful number, since it uses less digits than its factorization.

1225888728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9176 (or 9172 counting only the distinct ones).

The product of its digits is 1146880, while the sum is 51.

The square root of 1225888728 is about 35012.6938123875. The cubic root of 1225888728 is about 1070.2461738883.

The spelling of 1225888728 in words is "one billion, two hundred twenty-five million, eight hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 107 159 212 214 318 321 424 428 636 642 856 1272 1284 2568 5671 9007 11342 17013 18014 22684 27021 34026 36028 45368 54042 68052 72056 108084 136104 216168 477371 954742 963749 1432113 1909484 1927498 2864226 2891247 3818968 3854996 5728452 5782494 7709992 11456904 11564988 23129976 51078697 102157394 153236091 204314788 306472182 408629576 612944364 1225888728