Search a number
-
+
22223040000000 = 21235773307
BaseRepresentation
bin1010000110110001101000…
…11001111011000000000000
32220200111112212102022101120
411003120310121323000000
510403100241220000000
6115133042412232240
74452363435161430
oct503306431730000
986614485368346
1022223040000000
1170988137aa034
1225aab8316b680
13c528152bcc68
1456b85ab302c0
15288113d996a0
hex14363467b000

22223040000000 has 832 divisors, whose sum is σ = 84674245733376. Its totient is φ = 5078016000000.

The previous prime is 22223039999999. The next prime is 22223040000023. The reversal of 22223040000000 is 4032222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6719998347 + ... + 6720001653.

It is an arithmetic number, because the mean of its divisors is an integer number (101771929968).

Almost surely, 222223040000000 is an apocalyptic number.

22223040000000 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 22223040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42337122866688).

22223040000000 is an abundant number, since it is smaller than the sum of its proper divisors (62451205733376).

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

22223040000000 is an frugal number, since it uses more digits than its factorization.

22223040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 22223040000000 its reverse (4032222), we get a palindrome (22223044032222).

The spelling of 22223040000000 in words is "twenty-two trillion, two hundred twenty-three billion, forty million", and thus it is an aban number.