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1228275126 = 23213171312357
BaseRepresentation
bin100100100110101…
…1111110110110110
310011121012211201100
41021031133312312
510003414301001
6321514110530
742303111021
oct11115376666
93147184640
101228275126
11580369311
122a341b446
13167614320
14b91b01b8
1572c73586
hex4935fdb6

1228275126 has 96 divisors (see below), whose sum is σ = 3059023968. Its totient is φ = 352834560.

The previous prime is 1228275107. The next prime is 1228275127. The reversal of 1228275126 is 6215728221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228275127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519940 + ... + 522296.

It is an arithmetic number, because the mean of its divisors is an integer number (31864833).

Almost surely, 21228275126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228275126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529511984).

1228275126 is an abundant number, since it is smaller than the sum of its proper divisors (1830748842).

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

1228275126 is a wasteful number, since it uses less digits than its factorization.

1228275126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2523 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1228275126 is about 35046.7562835707. The cubic root of 1228275126 is about 1070.9401949621.

The spelling of 1228275126 in words is "one billion, two hundred twenty-eight million, two hundred seventy-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 131 153 221 234 262 306 393 442 663 786 1179 1326 1703 1989 2227 2357 2358 3406 3978 4454 4714 5109 6681 7071 10218 13362 14142 15327 20043 21213 28951 30641 30654 40069 40086 42426 57902 61282 80138 86853 91923 120207 173706 183846 240414 260559 275769 308767 360621 520897 521118 551538 617534 721242 926301 1041794 1562691 1852602 2778903 3125382 4013971 4688073 5249039 5557806 8027942 9376146 10498078 12041913 15747117 24083826 31494234 36125739 47241351 68237507 72251478 94482702 136475014 204712521 409425042 614137563 1228275126