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2012253732 = 2233371034889
BaseRepresentation
bin111011111110000…
…1000111000100100
312012020102002012000
41313330020320210
513110114104412
6531401325300
7100602605646
oct16774107044
95166362160
102012253732
11942957015
12481a96830
13260b779a8
14151368896
15bb9d34dc
hex77f08e24

2012253732 has 96 divisors (see below), whose sum is σ = 5411078400. Its totient is φ = 646154496.

The previous prime is 2012253721. The next prime is 2012253779. The reversal of 2012253732 is 2373522102.

It is a happy number.

2012253732 is a `hidden beast` number, since 2 + 0 + 122 + 537 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2012253696 and 2012253705.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409144 + ... + 414032.

It is an arithmetic number, because the mean of its divisors is an integer number (56365400).

Almost surely, 22012253732 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 2012253732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705539200).

2012253732 is an abundant number, since it is smaller than the sum of its proper divisors (3398824668).

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

2012253732 is a wasteful number, since it uses less digits than its factorization.

2012253732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2012253732 is about 44858.1512325241. The cubic root of 2012253732 is about 1262.4889351316.

Adding to 2012253732 its reverse (2373522102), we get a palindrome (4385775834).

The spelling of 2012253732 in words is "two billion, twelve million, two hundred fifty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 103 108 111 148 206 222 309 333 412 444 618 666 927 999 1236 1332 1854 1998 2781 3708 3811 3996 4889 5562 7622 9778 11124 11433 14667 15244 19556 22866 29334 34299 44001 45732 58668 68598 88002 102897 132003 137196 176004 180893 205794 264006 361786 411588 503567 528012 542679 723572 1007134 1085358 1510701 1628037 2014268 2170716 3021402 3256074 4532103 4884111 6042804 6512148 9064206 9768222 13596309 18128412 18631979 19536444 27192618 37263958 54385236 55895937 74527916 111791874 167687811 223583748 335375622 503063433 670751244 1006126866 2012253732