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22649949001 = 192894
BaseRepresentation
bin10101000110000010…
…101100101101001001
32011110111212121220001
4111012002230231021
5332341341332001
614223311003001
71431200250511
oct250602545511
964414777801
1022649949001
11967333aa19
124481509461
13219c6b89b4
14114c20a841
158c8716001
hex5460acb49

22649949001 has 15 divisors (see below), whose sum is σ = 24176439201. Its totient is φ = 21216747024.

The previous prime is 22649948999. The next prime is 22649949011. The reversal of 22649949001 is 10094994622.

It is a happy number.

The square root of 22649949001 is 150499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8593475401 + 14056473600 = 92701^2 + 118560^2 .

It is not a de Polignac number, because 22649949001 - 21 = 22649948999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22649949011) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 254493765 + ... + 254493853.

Almost surely, 222649949001 is an apocalyptic number.

22649949001 is the 150499-th square number.

22649949001 is the 75250-th centered octagonal number.

It is an amenable number.

22649949001 is a deficient number, since it is larger than the sum of its proper divisors (1526490200).

22649949001 is an frugal number, since it uses more digits than its factorization.

22649949001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 22649949001 in words is "twenty-two billion, six hundred forty-nine million, nine hundred forty-nine thousand, one".

Divisors: 1 19 89 361 1691 7921 32129 150499 704969 2859481 13394411 62742241 254493809 1192102579 22649949001