Search a number
-
+
22992495680 = 2657116531429
BaseRepresentation
bin10101011010011101…
…011010010001000000
32012100101102210121002
4111122131122101000
5334042034330210
614321304551132
71442526663050
oct253235322100
965311383532
1022992495680
119829734350
1245581824a8
13222566253b
1411818d7560
158e882b4a5
hex55a75a440

22992495680 has 224 divisors, whose sum is σ = 68413213440. Its totient is φ = 7150510080.

The previous prime is 22992495677. The next prime is 22992495683. The reversal of 22992495680 is 8659429922.

It is an interprime number because it is at equal distance from previous prime (22992495677) and next prime (22992495683).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (22992495683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16089206 + ... + 16090634.

Almost surely, 222992495680 is an apocalyptic number.

22992495680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22992495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34206606720).

22992495680 is an abundant number, since it is smaller than the sum of its proper divisors (45420717760).

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

22992495680 is a wasteful number, since it uses less digits than its factorization.

22992495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The spelling of 22992495680 in words is "twenty-two billion, nine hundred ninety-two million, four hundred ninety-five thousand, six hundred eighty".