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2133322320 = 243537793041
BaseRepresentation
bin111111100100111…
…1110101001010000
312111200020000001210
41333021332221100
513332112303240
6551404300120
7103602640413
oct17711765120
95450200053
102133322320
119a52286a8
124b6541640
1327cc870cc
14163481b7a
15c744a780
hex7f27ea50

2133322320 has 160 divisors (see below), whose sum is σ = 6880273920. Its totient is φ = 546324480.

The previous prime is 2133322309. The next prime is 2133322351. The reversal of 2133322320 is 232233312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700000 + ... + 703040.

It is an arithmetic number, because the mean of its divisors is an integer number (43001712).

Almost surely, 22133322320 is an apocalyptic number.

2133322320 is a gapful number since it is divisible by the number (20) 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 2133322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440136960).

2133322320 is an abundant number, since it is smaller than the sum of its proper divisors (4746951600).

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

2133322320 is a wasteful number, since it uses less digits than its factorization.

2133322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2133322320 is about 46187.9023121856. The cubic root of 2133322320 is about 1287.3169642086.

Adding to 2133322320 its reverse (232233312), we get a palindrome (2365555632).

The spelling of 2133322320 in words is "two billion, one hundred thirty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 79 80 111 120 148 158 185 222 237 240 296 316 370 395 444 474 555 592 632 740 790 888 948 1110 1185 1264 1480 1580 1776 1896 2220 2370 2923 2960 3041 3160 3792 4440 4740 5846 6082 6320 8769 8880 9123 9480 11692 12164 14615 15205 17538 18246 18960 23384 24328 29230 30410 35076 36492 43845 45615 46768 48656 58460 60820 70152 72984 87690 91230 112517 116920 121640 140304 145968 175380 182460 225034 233840 240239 243280 337551 350760 364920 450068 480478 562585 675102 701520 720717 729840 900136 960956 1125170 1201195 1350204 1441434 1687755 1800272 1921912 2250340 2402390 2700408 2882868 3375510 3603585 3843824 4500680 4804780 5400816 5765736 6751020 7207170 8888843 9001360 9609560 11531472 13502040 14414340 17777686 19219120 26666529 27004080 28828680 35555372 44444215 53333058 57657360 71110744 88888430 106666116 133332645 142221488 177776860 213332232 266665290 355553720 426664464 533330580 711107440 1066661160 2133322320