Search a number
-
+
2210490688 = 26717290243
BaseRepresentation
bin1000001111000001…
…0110100101000000
312201001102120011111
42003300112211000
514011341200223
61003202253104
7105530601160
oct20360264500
95631376144
102210490688
11a3484540a
12518357194
13292c65673
1416d80c5a0
15ce0e030d
hex83c16940

2210490688 has 56 divisors (see below), whose sum is σ = 5307982272. Its totient is φ = 891623424.

The previous prime is 2210490683. The next prime is 2210490707. The reversal of 2210490688 is 8860940122.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2210490688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210490683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137506 + ... + 152737.

Almost surely, 22210490688 is an apocalyptic number.

2210490688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2210490688 is an abundant number, since it is smaller than the sum of its proper divisors (3097491584).

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

2210490688 is a wasteful number, since it uses less digits than its factorization.

2210490688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290279 (or 290269 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 2210490688 is about 47015.8557084735. The cubic root of 2210490688 is about 1302.6554573188.

The spelling of 2210490688 in words is "two billion, two hundred ten million, four hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 290243 580486 1160972 2031701 2321944 4063402 4643888 4934131 8126804 9287776 9868262 16253608 18575552 19736524 32507216 34538917 39473048 65014432 69077834 78946096 130028864 138155668 157892192 276311336 315784384 552622672 1105245344 2210490688