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2252410002 = 2321737198941
BaseRepresentation
bin1000011001000001…
…0000110010010010
312210222022021122200
42012100100302102
514103104110002
61011300544030
7106550112003
oct20620206222
95728267580
102252410002
11a56476a77
1252a3b2016
1329b8519ab
141752011aa
15d2b20b1c
hex86410c92

2252410002 has 48 divisors (see below), whose sum is σ = 5306976792. Its totient is φ = 687536640.

The previous prime is 2252409977. The next prime is 2252410007. The reversal of 2252410002 is 2000142522.

2252410002 is a `hidden beast` number, since 2 + 252 + 410 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1966833801 + 285576201 = 44349^2 + 16899^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2252410007) 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, 88149 + ... + 110792.

Almost surely, 22252410002 is an apocalyptic number.

2252410002 is an abundant number, since it is smaller than the sum of its proper divisors (3054566790).

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

2252410002 is a wasteful number, since it uses less digits than its factorization.

2252410002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199003 (or 199000 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2252410002 is about 47459.5617552459. The cubic root of 2252410002 is about 1310.8383814228.

Adding to 2252410002 its reverse (2000142522), we get a palindrome (4252552524).

The spelling of 2252410002 in words is "two billion, two hundred fifty-two million, four hundred ten thousand, two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 11322 198941 397882 596823 1193646 1790469 3381997 3580938 6763994 7360817 10145991 14721634 20291982 22082451 30437973 44164902 60875946 66247353 125133889 132494706 250267778 375401667 750803334 1126205001 2252410002