Search a number
-
+
22230012000 = 253537264643
BaseRepresentation
bin10100101101000000…
…110001000001100000
32010101020200121121210
4110231000301001200
5331011340341000
614113510150120
71414610661420
oct245500610140
963336617553
1022230012000
119478298049
124384952340
1321336b6871
14110c536480
158a1915350
hex52d031060

22230012000 has 192 divisors, whose sum is σ = 83229479424. Its totient is φ = 5081126400.

The previous prime is 22230011987. The next prime is 22230012011. The reversal of 22230012000 is 21003222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48322 + ... + 216321.

It is an arithmetic number, because the mean of its divisors is an integer number (433486872).

Almost surely, 222230012000 is an apocalyptic number.

22230012000 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 22230012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41614739712).

22230012000 is an abundant number, since it is smaller than the sum of its proper divisors (60999467424).

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

22230012000 is a wasteful number, since it uses less digits than its factorization.

22230012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264678 (or 264660 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 22230012000 its reverse (21003222), we get a palindrome (22251015222).

The spelling of 22230012000 in words is "twenty-two billion, two hundred thirty million, twelve thousand".