Search a number
-
+
2196088992 = 25327625309
BaseRepresentation
bin1000001011100101…
…1010100010100000
312200001022212202100
42002321122202200
513444144321432
61001525450400
7105264306546
oct20271324240
95601285670
102196088992
11a276a9189
12513570a00
1328cc92456
1416b93dd96
15ccbe807c
hex82e5a8a0

2196088992 has 36 divisors (see below), whose sum is σ = 6245128890. Its totient is φ = 732029568.

The previous prime is 2196088969. The next prime is 2196089017. The reversal of 2196088992 is 2998806912.

2196088992 is a `hidden beast` number, since 21 + 9 + 608 + 8 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2186871696 + 9217296 = 46764^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3812367 + ... + 3812942.

Almost surely, 22196088992 is an apocalyptic number.

It is an amenable number.

2196088992 is an abundant number, since it is smaller than the sum of its proper divisors (4049039898).

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

2196088992 is a wasteful number, since it uses less digits than its factorization.

2196088992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625325 (or 7625314 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 2196088992 is about 46862.4475673220. The cubic root of 2196088992 is about 1299.8202891620.

The spelling of 2196088992 in words is "two billion, one hundred ninety-six million, eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7625309 15250618 22875927 30501236 45751854 61002472 68627781 91503708 122004944 137255562 183007416 244009888 274511124 366014832 549022248 732029664 1098044496 2196088992