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1228105056 = 253231015507
BaseRepresentation
bin100100100110011…
…0110010101100000
310011120220012102110
41021030312111200
510003343330211
6321510315320
742301502133
oct11114662540
93146805373
101228105056
11580262562
122a3358b40
13167584aa9
14b916821a
1572c3cea6
hex49336560

1228105056 has 96 divisors (see below), whose sum is σ = 3397863168. Its totient is φ = 387622400.

The previous prime is 1228105051. The next prime is 1228105057. The reversal of 1228105056 is 6505018221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228105051) 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, 220255 + ... + 225761.

It is an arithmetic number, because the mean of its divisors is an integer number (35394408).

Almost surely, 21228105056 is an apocalyptic number.

1228105056 is a gapful number since it is divisible by the number (16) 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 1228105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698931584).

1228105056 is an abundant number, since it is smaller than the sum of its proper divisors (2169758112).

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

1228105056 is a wasteful number, since it uses less digits than its factorization.

1228105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 1228105056 is about 35044.3298694668. The cubic root of 1228105056 is about 1070.8907643413.

The spelling of 1228105056 in words is "one billion, two hundred twenty-eight million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 101 138 184 202 276 303 368 404 552 606 736 808 1104 1212 1616 2208 2323 2424 3232 4646 4848 5507 6969 9292 9696 11014 13938 16521 18584 22028 27876 33042 37168 44056 55752 66084 74336 88112 111504 126661 132168 176224 223008 253322 264336 379983 506644 528672 556207 759966 1013288 1112414 1519932 1668621 2026576 2224828 3039864 3337242 4053152 4449656 6079728 6674484 8899312 12159456 12792761 13348968 17798624 25585522 26697936 38378283 51171044 53395872 76756566 102342088 153513132 204684176 307026264 409368352 614052528 1228105056