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2133232440 = 233586320599
BaseRepresentation
bin111111100100110…
…1000101100111000
312111200001102202220
41333021220230320
513332101414230
6551402324040
7103602114363
oct17711505470
95450042686
102133232440
119a5177119
124b64b9620
1327cc55221
1416345b0da
15c742dd10
hex7f268b38

2133232440 has 64 divisors (see below), whose sum is σ = 6407424000. Its totient is φ = 568175232.

The previous prime is 2133232433. The next prime is 2133232511. The reversal of 2133232440 is 442323312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2133232440.

It is a congruent number.

It is an unprimeable number.

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, 93261 + ... + 113859.

It is an arithmetic number, because the mean of its divisors is an integer number (100116000).

Almost surely, 22133232440 is an apocalyptic number.

2133232440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133232440 is an abundant number, since it is smaller than the sum of its proper divisors (4274191560).

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

2133232440 is a wasteful number, since it uses less digits than its factorization.

2133232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21476 (or 21472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2133232440 is about 46186.9293198844. The cubic root of 2133232440 is about 1287.2988851038.

Adding to 2133232440 its reverse (442323312), we get a palindrome (2575555752).

The spelling of 2133232440 in words is "two billion, one hundred thirty-three million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 863 1726 2589 3452 4315 5178 6904 8630 10356 12945 17260 20599 20712 25890 34520 41198 51780 61797 82396 102995 103560 123594 164792 205990 247188 308985 411980 494376 617970 823960 1235940 2471880 17776937 35553874 53330811 71107748 88884685 106661622 142215496 177769370 213323244 266654055 355538740 426646488 533308110 711077480 1066616220 2133232440