Search a number
-
+
22902219648 = 2732711292307
BaseRepresentation
bin10101010101000101…
…000010001110000000
32012010002120022011100
4111111011002032000
5333400432012043
614304322014400
71440352440450
oct252505021600
965102508140
1022902219648
119792784660
124531aa7400
13220ca44a79
141173917d60
158e0947cd3
hex555142380

22902219648 has 576 divisors, whose sum is σ = 85373608320. Its totient is φ = 5724794880.

The previous prime is 22902219581. The next prime is 22902219671. The reversal of 22902219648 is 84691220922.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74599911 + ... + 74600217.

It is an arithmetic number, because the mean of its divisors is an integer number (148218070).

Almost surely, 222902219648 is an apocalyptic number.

22902219648 is a gapful number since it is divisible by the number (28) 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 22902219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42686804160).

22902219648 is an abundant number, since it is smaller than the sum of its proper divisors (62471388672).

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

22902219648 is a wasteful number, since it uses less digits than its factorization.

22902219648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22902219648 in words is "twenty-two billion, nine hundred two million, two hundred nineteen thousand, six hundred forty-eight".