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2164154226 = 23131923173367
BaseRepresentation
bin1000000011111110…
…0101111101110010
312120211020102111020
42000333211331302
513413010413401
6554425200310
7104426002353
oct20077457562
95524212436
102164154226
11a10677113
12504930096
13286490940
141675c9d2a
15c9edad36
hex80fe5f72

2164154226 has 128 divisors (see below), whose sum is σ = 5163540480. Its totient is φ = 598295808.

The previous prime is 2164154221. The next prime is 2164154233. The reversal of 2164154226 is 6224514612.

It is not an unprimeable number, because it can be changed into a prime (2164154221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5896695 + ... + 5897061.

It is an arithmetic number, because the mean of its divisors is an integer number (40340160).

Almost surely, 22164154226 is an apocalyptic number.

2164154226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164154226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581770240).

2164154226 is an abundant number, since it is smaller than the sum of its proper divisors (2999386254).

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

2164154226 is a wasteful number, since it uses less digits than its factorization.

2164154226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600.

The product of its digits is 23040, while the sum is 33.

The square root of 2164154226 is about 46520.4710423272. The cubic root of 2164154226 is about 1293.4889878171.

Adding to 2164154226 its reverse (6224514612), we get a palindrome (8388668838).

The spelling of 2164154226 in words is "two billion, one hundred sixty-four million, one hundred fifty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 13 19 23 26 38 39 46 57 69 78 114 138 173 247 299 346 367 437 494 519 598 734 741 874 897 1038 1101 1311 1482 1794 2202 2249 2622 3287 3979 4498 4771 5681 6574 6747 6973 7958 8441 9542 9861 11362 11937 13494 13946 14313 16882 17043 19722 20919 23874 25323 28626 34086 41838 42731 50646 51727 63491 75601 85462 90649 103454 109733 126982 128193 151202 155181 160379 181298 190473 219466 226803 256386 271947 310362 320758 329199 380946 453606 481137 543894 658398 825383 962274 982813 1206329 1460293 1650766 1965626 2084927 2412658 2476149 2920586 2948439 3618987 4169854 4380879 4952298 5896878 6254781 7237974 8761758 12509562 15682277 18983809 27745567 31364554 37967618 47046831 55491134 56951427 83236701 94093662 113902854 166473402 360692371 721384742 1082077113 2164154226