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2125335204 = 2232374138917
BaseRepresentation
bin111111010101110…
…0000101010100100
312111010012012210200
41332223200222210
513323041211304
6550521150500
7103445023356
oct17653405244
95433165720
102125335204
119a0772883
124b392b430
1327b41b7c5
141623a30d6
15c68bde39
hex7eae0aa4

2125335204 has 72 divisors (see below), whose sum is σ = 5652294648. Its totient is φ = 672468480.

The previous prime is 2125335203. The next prime is 2125335239. The reversal of 2125335204 is 4025335212.

It is a happy number.

2125335204 is a `hidden beast` number, since 2 + 125 + 335 + 204 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27878400 + 2097456804 = 5280^2 + 45798^2 .

It is not an unprimeable number, because it can be changed into a prime (2125335203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35154 + ... + 74070.

Almost surely, 22125335204 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 2125335204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826147324).

2125335204 is an abundant number, since it is smaller than the sum of its proper divisors (3526959444).

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

2125335204 is a wasteful number, since it uses less digits than its factorization.

2125335204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39005 (or 39000 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2125335204 is about 46101.3579409544. The cubic root of 2125335204 is about 1285.7083920788.

The spelling of 2125335204 in words is "two billion, one hundred twenty-five million, three hundred thirty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1476 1517 3034 4551 6068 9102 13653 18204 27306 38917 54612 77834 116751 155668 233502 350253 467004 700506 1401012 1439929 1595597 2879858 3191194 4319787 4786791 5759716 6382388 8639574 9573582 12959361 14360373 17279148 19147164 25918722 28720746 51837444 57441492 59037089 118074178 177111267 236148356 354222534 531333801 708445068 1062667602 2125335204