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2133422240 = 255163179457
BaseRepresentation
bin111111100101001…
…0111000010100000
312111200102002010112
41333022113002200
513332124002430
6551410350452
7103603534625
oct17712270240
95450362115
102133422240
119a5296784
124b658b428
1327ccc0731
141634aa34c
15c746a195
hex7f2970a0

2133422240 has 96 divisors (see below), whose sum is σ = 5110620480. Its totient is φ = 841549824.

The previous prime is 2133422233. The next prime is 2133422243. The reversal of 2133422240 is 422243312.

It is not an unprimeable number, because it can be changed into a prime (2133422243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4668092 + ... + 4668548.

It is an arithmetic number, because the mean of its divisors is an integer number (53235630).

Almost surely, 22133422240 is an apocalyptic number.

2133422240 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 2133422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555310240).

2133422240 is an abundant number, since it is smaller than the sum of its proper divisors (2977198240).

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

2133422240 is a wasteful number, since it uses less digits than its factorization.

2133422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2133422240 is about 46188.9839680416. The cubic root of 2133422240 is about 1287.3370622347.

Adding to 2133422240 its reverse (422243312), we get a palindrome (2555665552).

The spelling of 2133422240 in words is "two billion, one hundred thirty-three million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 179 326 358 457 652 716 815 895 914 1304 1432 1630 1790 1828 2285 2608 2864 3260 3580 3656 4570 5216 5728 6520 7160 7312 9140 13040 14320 14624 18280 26080 28640 29177 36560 58354 73120 74491 81803 116708 145885 148982 163606 233416 291770 297964 327212 372455 409015 466832 583540 595928 654424 744910 818030 933664 1167080 1191856 1308848 1489820 1636060 2334160 2383712 2617696 2979640 3272120 4668320 5959280 6544240 11918560 13088480 13333889 26667778 53335556 66669445 106671112 133338890 213342224 266677780 426684448 533355560 1066711120 2133422240