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2133232240 = 245471992851
BaseRepresentation
bin111111100100110…
…1000101001110000
312111200001102111111
41333021220221300
513332101412430
6551402323104
7103602113656
oct17711505160
95450042444
102133232240
119a5176a57
124b64b9494
1327cc550c9
1416345add6
15c742dc2a
hex7f268a70

2133232240 has 80 divisors (see below), whose sum is σ = 5092531200. Its totient is φ = 830649600.

The previous prime is 2133232237. The next prime is 2133232249. The reversal of 2133232240 is 422323312.

2133232240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133232249) 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, 746815 + ... + 749665.

It is an arithmetic number, because the mean of its divisors is an integer number (63656640).

Almost surely, 22133232240 is an apocalyptic number.

2133232240 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 2133232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546265600).

2133232240 is an abundant number, since it is smaller than the sum of its proper divisors (2959298960).

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

2133232240 is a wasteful number, since it uses less digits than its factorization.

2133232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2133232240 is about 46186.9271547697. The cubic root of 2133232240 is about 1287.2988448738.

Adding to 2133232240 its reverse (422323312), we get a palindrome (2555555552).

The spelling of 2133232240 in words is "two billion, one hundred thirty-three million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 199 235 376 398 470 752 796 940 995 1592 1880 1990 2851 3184 3760 3980 5702 7960 9353 11404 14255 15920 18706 22808 28510 37412 45616 46765 57020 74824 93530 114040 133997 149648 187060 228080 267994 374120 535988 567349 669985 748240 1071976 1134698 1339970 2143952 2269396 2679940 2836745 4538792 5359880 5673490 9077584 10719760 11346980 22693960 26665403 45387920 53330806 106661612 133327015 213323224 266654030 426646448 533308060 1066616120 2133232240