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1226954112 = 273127139181
BaseRepresentation
bin100100100100001…
…1101010110000000
310011111201201121220
41021020131112000
510003100012422
6321425515040
742255636456
oct11110352600
93144651556
101226954112
1157a64686a
122a2aa2a80
13167270c67
14b8d489d6
1572ab1e5c
hex4921d580

1226954112 has 128 divisors (see below), whose sum is σ = 3326668800. Its totient is φ = 400619520.

The previous prime is 1226954101. The next prime is 1226954119. The reversal of 1226954112 is 2114596221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226954119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6778662 + ... + 6778842.

It is an arithmetic number, because the mean of its divisors is an integer number (25989600).

Almost surely, 21226954112 is an apocalyptic number.

1226954112 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 1226954112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663334400).

1226954112 is an abundant number, since it is smaller than the sum of its proper divisors (2099714688).

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

1226954112 is a wasteful number, since it uses less digits than its factorization.

1226954112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 1226954112 is about 35027.9047617753. The cubic root of 1226954112 is about 1070.5561239872.

The spelling of 1226954112 in words is "one billion, two hundred twenty-six million, nine hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 139 181 192 254 278 362 381 384 417 508 543 556 724 762 834 1016 1086 1112 1448 1524 1668 2032 2172 2224 2896 3048 3336 4064 4344 4448 5792 6096 6672 8128 8688 8896 11584 12192 13344 16256 17376 17653 17792 22987 23168 24384 25159 26688 34752 35306 45974 48768 50318 52959 53376 68961 69504 70612 75477 91948 100636 105918 137922 141224 150954 183896 201272 211836 275844 282448 301908 367792 402544 423672 551688 564896 603816 735584 805088 847344 1103376 1129792 1207632 1471168 1610176 1694688 2206752 2259584 2415264 2942336 3195193 3220352 3389376 4413504 4830528 6390386 6778752 8827008 9585579 9661056 12780772 19171158 25561544 38342316 51123088 76684632 102246176 153369264 204492352 306738528 408984704 613477056 1226954112