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2133221232 = 243113547719
BaseRepresentation
bin111111100100110…
…0101111101110000
312111200000212101210
41333021211331300
513332101034412
6551402200120
7103602036612
oct17711457560
95450025353
102133221232
119a516975a
124b64b3040
1327cc500ac
14163456db2
15c742a83c
hex7f265f70

2133221232 has 80 divisors (see below), whose sum is σ = 5577500160. Its totient is φ = 702514176.

The previous prime is 2133221213. The next prime is 2133221249. The reversal of 2133221232 is 2321223312.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133221199 and 2133221208.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2966569 + ... + 2967287.

It is an arithmetic number, because the mean of its divisors is an integer number (69718752).

Almost surely, 22133221232 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 2133221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788750080).

2133221232 is an abundant number, since it is smaller than the sum of its proper divisors (3444278928).

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

2133221232 is a wasteful number, since it uses less digits than its factorization.

2133221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1384 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2133221232 is about 46186.8079866968. The cubic root of 2133221232 is about 1287.2966306110.

Adding to 2133221232 its reverse (2321223312), we get a palindrome (4454444544).

The spelling of 2133221232 in words is "two billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 547 678 719 904 1094 1356 1438 1641 1808 2157 2188 2712 2876 3282 4314 4376 5424 5752 6564 8628 8752 11504 13128 17256 26256 34512 61811 81247 123622 162494 185433 243741 247244 324988 370866 393293 487482 494488 649976 741732 786586 974964 988976 1179879 1299952 1483464 1573172 1949928 2359758 2966928 3146344 3899856 4719516 6292688 9439032 18878064 44442109 88884218 133326327 177768436 266652654 355536872 533305308 711073744 1066610616 2133221232