Search a number
-
+
33227927840 = 255318380713
BaseRepresentation
bin11110111100100010…
…011111000100100000
310011202201012121221002
4132330202133010200
51021022322142330
623133101451132
72254263504122
oct367442370440
9104681177832
1033227927840
1113101331a98
126533b70aa8
133197061683
141873023212
15ce71e1e45
hex7bc89f120

33227927840 has 96 divisors (see below), whose sum is σ = 82010589696. Its totient is φ = 12707297280.

The previous prime is 33227927839. The next prime is 33227927849. The reversal of 33227927840 is 4872972233.

It is a super-2 number, since 2×332279278402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33227927849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371324 + ... + 452036.

It is an arithmetic number, because the mean of its divisors is an integer number (854276976).

Almost surely, 233227927840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33227927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41005294848).

33227927840 is an abundant number, since it is smaller than the sum of its proper divisors (48782661856).

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

33227927840 is a wasteful number, since it uses less digits than its factorization.

33227927840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80842 (or 80834 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 47.

The spelling of 33227927840 in words is "thirty-three billion, two hundred twenty-seven million, nine hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 83 124 155 160 166 248 310 332 415 496 620 664 830 992 1240 1328 1660 2480 2573 2656 3320 4960 5146 6640 10292 12865 13280 20584 25730 41168 51460 80713 82336 102920 161426 205840 322852 403565 411680 645704 807130 1291408 1614260 2502103 2582816 3228520 5004206 6457040 6699179 10008412 12510515 12914080 13398358 20016824 25021030 26796716 33495895 40033648 50042060 53593432 66991790 80067296 100084120 107186864 133983580 200168240 207674549 214373728 267967160 400336480 415349098 535934320 830698196 1038372745 1071868640 1661396392 2076745490 3322792784 4153490980 6645585568 8306981960 16613963920 33227927840