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338101222020 = 223553178759497
BaseRepresentation
bin1001110101110000110…
…01110011101010000100
31012022200212002122112020
410322320121303222010
521014412403101040
6415153242323140
733266314653312
oct4727031635204
91168625078466
10338101222020
1112042a364341
12556394b94b0
1325b626b78b3
14125154830b2
158bdc629cd0
hex4eb8673a84

338101222020 has 96 divisors (see below), whose sum is σ = 965101350528. Its totient is φ = 88408200192.

The previous prime is 338101222001. The next prime is 338101222049. The reversal of 338101222020 is 20222101833.

It is a happy number.

It is a super-2 number, since 2×3381012220202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5652912 + ... + 5712408.

It is an arithmetic number, because the mean of its divisors is an integer number (10053139068).

Almost surely, 2338101222020 is an apocalyptic number.

338101222020 is a gapful number since it is divisible by the number (30) 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 338101222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482550675264).

338101222020 is an abundant number, since it is smaller than the sum of its proper divisors (627000128508).

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

338101222020 is a wasteful number, since it uses less digits than its factorization.

338101222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61349 (or 61347 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 338101222020 its reverse (20222101833), we get a palindrome (358323323853).

The spelling of 338101222020 in words is "three hundred thirty-eight billion, one hundred one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 1787 3180 3574 5361 7148 8935 10722 17870 21444 26805 35740 53610 59497 94711 107220 118994 178491 189422 237988 284133 297485 356982 378844 473555 568266 594970 713964 892455 947110 1136532 1189940 1420665 1784910 1894220 2841330 3153341 3569820 5682660 6306682 9460023 12613364 15766705 18920046 31533410 37840092 47300115 63066820 94600230 106321139 189200460 212642278 318963417 425284556 531605695 637926834 1063211390 1275853668 1594817085 2126422780 3189634170 5635020367 6379268340 11270040734 16905061101 22540081468 28175101835 33810122202 56350203670 67620244404 84525305505 112700407340 169050611010 338101222020