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2010025332 = 2232740119891
BaseRepresentation
bin111011111001110…
…1000110101110100
312012002012212101200
41313303220311310
513104031302312
6531241452500
7100544635110
oct16763506564
95162185350
102010025332
11941674867
124811a1130
13260577603
14150d48740
15bb6e30dc
hex77ce8d74

2010025332 has 72 divisors (see below), whose sum is σ = 5821513152. Its totient is φ = 572832000.

The previous prime is 2010025321. The next prime is 2010025357. The reversal of 2010025332 is 2335200102.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 91107 + ... + 110997.

Almost surely, 22010025332 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 2010025332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910756576).

2010025332 is an abundant number, since it is smaller than the sum of its proper divisors (3811487820).

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

2010025332 is a wasteful number, since it uses less digits than its factorization.

2010025332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20309 (or 20304 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2010025332 is about 44833.3060569929. The cubic root of 2010025332 is about 1262.0227299267.

Adding to 2010025332 its reverse (2335200102), we get a palindrome (4345225434).

The spelling of 2010025332 in words is "two billion, ten million, twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 401 802 1203 1604 2406 2807 3609 4812 5614 7218 8421 11228 14436 16842 19891 25263 33684 39782 50526 59673 79564 101052 119346 139237 179019 238692 278474 358038 417711 556948 716076 835422 1253133 1670844 2506266 5012532 7976291 15952582 23928873 31905164 47857746 55834037 71786619 95715492 111668074 143573238 167502111 223336148 287146476 335004222 502506333 670008444 1005012666 2010025332