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33023131240 = 23511228124281
BaseRepresentation
bin11110110000010101…
…001111111001101000
310011020102211212210211
4132300111033321220
51020112410144430
623100504150504
72246225661361
oct366025177150
9104212755724
1033023131240
1113006773300
126497468434
1331637b8058
141853b52b68
15cd423b72a
hex7b054fe68

33023131240 has 96 divisors (see below), whose sum is σ = 81964862280. Its totient is φ = 11965184000.

The previous prime is 33023131189. The next prime is 33023131387. The reversal of 33023131240 is 4213132033.

It can be written as a sum of positive squares in 4 ways, for example, as 32790690724 + 232440516 = 181082^2 + 15246^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

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 23 ways as a sum of consecutive naturals, for example, 1347900 + ... + 1372180.

Almost surely, 233023131240 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 33023131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982431140).

33023131240 is an abundant number, since it is smaller than the sum of its proper divisors (48941731040).

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

33023131240 is a wasteful number, since it uses less digits than its factorization.

33023131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24595 (or 24580 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33023131240 its reverse (4213132033), we get a palindrome (37236263273).

The spelling of 33023131240 in words is "thirty-three billion, twenty-three million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 281 440 484 562 605 968 1124 1210 1405 2248 2420 2810 3091 4840 5620 6182 11240 12364 15455 24281 24728 30910 34001 48562 61820 68002 97124 121405 123640 136004 170005 194248 242810 267091 272008 340010 485620 534182 680020 971240 1068364 1335455 1360040 2136728 2670910 2938001 5341820 5876002 6822961 10683640 11752004 13645922 14690005 23504008 27291844 29380010 34114805 54583688 58760020 68229610 75052571 117520040 136459220 150105142 272918440 300210284 375262855 600420568 750525710 825578281 1501051420 1651156562 3002102840 3302313124 4127891405 6604626248 8255782810 16511565620 33023131240