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2066531232 = 253231078747
BaseRepresentation
bin111101100101100…
…1100001110100000
312100000112122220210
41323023030032200
513213012444412
6541020534120
7102132140253
oct17313141640
95300478823
102066531232
11970559557
124980b1340
1326c1a005c
1415865709a
15c165583c
hex7b2cc3a0

2066531232 has 96 divisors (see below), whose sum is σ = 5714053632. Its totient is φ = 652661504.

The previous prime is 2066531197. The next prime is 2066531239. The reversal of 2066531232 is 2321356602.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2066531232.

It is not an unprimeable number, because it can be changed into a prime (2066531239) 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, 231883 + ... + 240629.

It is an arithmetic number, because the mean of its divisors is an integer number (59521392).

Almost surely, 22066531232 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 2066531232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857026816).

2066531232 is an abundant number, since it is smaller than the sum of its proper divisors (3647522400).

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

2066531232 is a wasteful number, since it uses less digits than its factorization.

2066531232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8890 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2066531232 is about 45459.1160494790. The cubic root of 2066531232 is about 1273.7396196880.

Adding to 2066531232 its reverse (2321356602), we get a palindrome (4387887834).

The spelling of 2066531232 in words is "two billion, sixty-six million, five hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 107 138 184 214 276 321 368 428 552 642 736 856 1104 1284 1712 2208 2461 2568 3424 4922 5136 7383 8747 9844 10272 14766 17494 19688 26241 29532 34988 39376 52482 59064 69976 78752 104964 118128 139952 201181 209928 236256 279904 402362 419856 603543 804724 839712 935929 1207086 1609448 1871858 2414172 2807787 3218896 3743716 4828344 5615574 6437792 7487432 9656688 11231148 14974864 19313376 21526367 22462296 29949728 43052734 44924592 64579101 86105468 89849184 129158202 172210936 258316404 344421872 516632808 688843744 1033265616 2066531232