Search a number
-
+
22216365922608 = 243311132291570427
BaseRepresentation
bin1010000110100101001101…
…00110010101100100110000
32220122212022201222001101000
411003102212212111210300
510402443104134010413
6115130020235442000
74452036154356024
oct503224646254460
986585281861330
1022216365922608
1170959a94249a0
1225a981bbb6300
13c51cc068cc40
1456b3c65b4384
15287d72eb0073
hex1434a6995930

22216365922608 has 320 divisors, whose sum is σ = 75244859020800. Its totient is φ = 6187227171840.

The previous prime is 22216365922603. The next prime is 22216365922609. The reversal of 22216365922608 is 80622956361222.

22216365922608 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 6 + 3 + 6 + 5 + 9 + 22 + 608 = 666.

It is a super-2 number, since 2×222163659226082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22216365922603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13361491 + ... + 14931917.

It is an arithmetic number, because the mean of its divisors is an integer number (235140184440).

Almost surely, 222216365922608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22216365922608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37622429510400).

22216365922608 is an abundant number, since it is smaller than the sum of its proper divisors (53028493098192).

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

22216365922608 is a wasteful number, since it uses less digits than its factorization.

22216365922608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570697 (or 1570685 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 22216365922608 in words is "twenty-two trillion, two hundred sixteen billion, three hundred sixty-five million, nine hundred twenty-two thousand, six hundred eight".