Search a number
-
+
22509000901 = 1811153107857
BaseRepresentation
bin10100111101101001…
…000001100011000101
32011002200122201110001
4110331221001203011
5332044301012101
614201314001301
71424536231222
oct247551014305
964080581401
1022509000901
119600820592
124442276231
132179438c5a
1411375da949
158bb173901
hex53da418c5

22509000901 has 8 divisors (see below), whose sum is σ = 22653200024. Its totient is φ = 22365020160.

The previous prime is 22509000869. The next prime is 22509000907. The reversal of 22509000901 is 10900090522.

It is a Cunningham number, because it is equal to 1500302+1.

It can be written as a sum of positive squares in 4 ways, for example, as 248062500 + 22260938401 = 15750^2 + 149201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22509000901 - 25 = 22509000869 is a prime.

It is a super-2 number, since 2×225090009012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22509000901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22509000907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154765 + ... + 262621.

It is an arithmetic number, because the mean of its divisors is an integer number (2831650003).

Almost surely, 222509000901 is an apocalyptic number.

It is an amenable number.

22509000901 is a deficient number, since it is larger than the sum of its proper divisors (144199123).

22509000901 is a wasteful number, since it uses less digits than its factorization.

22509000901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109191.

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 22509000901 in words is "twenty-two billion, five hundred nine million, nine hundred one", and thus it is an aban number.

Divisors: 1 181 1153 107857 208693 19522117 124359121 22509000901