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1074572226 = 2327132932239
BaseRepresentation
bin100000000001100…
…1010101111000010
32202212222220222100
41000003022233002
54200042302401
6254343451230
735425466430
oct10003125702
92685886870
101074572226
11501628022
1225ba56b16
13141819b70
14a29ddd50
1564511b86
hex400cabc2

1074572226 has 96 divisors (see below), whose sum is σ = 2876590080. Its totient is φ = 282310272.

The previous prime is 1074572221. The next prime is 1074572267. The reversal of 1074572226 is 6222754701.

It is a happy number.

1074572226 is a `hidden beast` number, since 10 + 74 + 572 + 2 + 2 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1074572221) 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 47 ways as a sum of consecutive naturals, for example, 478815 + ... + 481053.

It is an arithmetic number, because the mean of its divisors is an integer number (29964480).

Almost surely, 21074572226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074572226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438295040).

1074572226 is an abundant number, since it is smaller than the sum of its proper divisors (1802017854).

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

1074572226 is a wasteful number, since it uses less digits than its factorization.

1074572226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1074572226 is about 32780.6684800661. The cubic root of 1074572226 is about 1024.2639096648.

The spelling of 1074572226 in words is "one billion, seventy-four million, five hundred seventy-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 293 546 586 819 879 1638 1758 2051 2239 2637 3809 4102 4478 5274 6153 6717 7618 11427 12306 13434 15673 18459 20151 22854 26663 29107 31346 34281 36918 40302 47019 53326 58214 68562 79989 87321 94038 141057 159978 174642 203749 239967 261963 282114 407498 479934 523926 611247 656027 1222494 1312054 1833741 1968081 3667482 3936162 4592189 5904243 8528351 9184378 11808486 13776567 17056702 25585053 27553134 41329701 51170106 59698457 76755159 82659402 119396914 153510318 179095371 358190742 537286113 1074572226