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2011223032 = 23731324337
BaseRepresentation
bin111011111100000…
…1101001111111000
312012011110201022221
41313320031033320
513104333114112
6531323253424
7100561054000
oct16770151770
95164421287
102011223032
119423126a5
1248167a274
132608a6800
1415117b000
15bb87ce07
hex77e0d3f8

2011223032 has 96 divisors (see below), whose sum is σ = 4763124000. Its totient is φ = 795465216.

The previous prime is 2011223021. The next prime is 2011223033. The reversal of 2011223032 is 2303221102.

It is a junction number, because it is equal to n+sod(n) for n = 2011222997 and 2011223015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011223033) by changing a digit.

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, 461568 + ... + 465904.

It is an arithmetic number, because the mean of its divisors is an integer number (49615875).

Almost surely, 22011223032 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 2011223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381562000).

2011223032 is an abundant number, since it is smaller than the sum of its proper divisors (2751900968).

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

2011223032 is a wasteful number, since it uses less digits than its factorization.

2011223032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2011223032 is about 44846.6613250084. The cubic root of 2011223032 is about 1262.2733444303.

Adding to 2011223032 its reverse (2303221102), we get a palindrome (4314444134).

The spelling of 2011223032 in words is "two billion, eleven million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 169 182 196 338 343 364 392 637 676 686 728 1183 1274 1352 1372 2366 2548 2744 4337 4459 4732 5096 8281 8674 8918 9464 16562 17348 17836 30359 33124 34696 35672 56381 57967 60718 66248 112762 115934 121436 212513 225524 231868 242872 394667 425026 451048 463736 732953 789334 850052 1465906 1487591 1578668 1700104 2762669 2931812 2975182 3157336 5130671 5525338 5863624 5950364 10261342 11050676 11900728 19338683 20522684 22101352 35914697 38677366 41045368 71829394 77354732 143658788 154709464 251402879 287317576 502805758 1005611516 2011223032