Search a number
-
+
22591727048 = 2311248312
BaseRepresentation
bin10101000010100100…
…100110010111001000
32011022110022122101102
4111002210212113020
5332231440231143
614213431040532
71426562340302
oct250244462710
964273278342
1022591727048
119643493a00
124465b10148
132190612137
1411445b2972
158c35650b8
hex5429265c8

22591727048 has 36 divisors (see below), whose sum is σ = 46570069035. Its totient is φ = 10266841200.

The previous prime is 22591727047. The next prime is 22591727083. The reversal of 22591727048 is 84072719522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11295863524 + 11295863524 = 106282^2 + 106282^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106282.

It is a super-2 number, since 2×225917270482 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22591726993 and 22591727011.

It is not an unprimeable number, because it can be changed into a prime (22591727047) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4673993 + ... + 4678823.

Almost surely, 222591727048 is an apocalyptic number.

It is an amenable number.

22591727048 is an abundant number, since it is smaller than the sum of its proper divisors (23978341987).

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

22591727048 is an frugal number, since it uses more digits than its factorization.

22591727048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 22591727048 in words is "twenty-two billion, five hundred ninety-one million, seven hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 4831 9662 19324 38648 53141 106282 212564 425128 584551 1169102 2338204 4676408 23338561 46677122 93354244 186708488 256724171 513448342 1026896684 2053793368 2823965881 5647931762 11295863524 22591727048