Search a number
-
+
22001332032 = 2632973791039
BaseRepresentation
bin10100011111011000…
…011010111101000000
32002210022101110200100
4110133120122331000
5330024320111112
614035100522400
71406133144111
oct243730327500
962708343610
1022001332032
1193701a6439
124320250400
1320c81ca384
1410ca00a208
1588b7e32dc
hex51f61af40

22001332032 has 168 divisors, whose sum is σ = 63942569600. Its totient is φ = 7232053248.

The previous prime is 22001332007. The next prime is 22001332033. The reversal of 22001332032 is 23023310022.

It is a happy number.

It is a super-2 number, since 2×220013320322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22001331996 and 22001332014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001332033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21174969 + ... + 21176007.

Almost surely, 222001332032 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 22001332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31971284800).

22001332032 is an abundant number, since it is smaller than the sum of its proper divisors (41941237568).

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

22001332032 is a wasteful number, since it uses less digits than its factorization.

22001332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22001332032 its reverse (23023310022), we get a palindrome (45024642054).

The spelling of 22001332032 in words is "twenty-two billion, one million, three hundred thirty-two thousand, thirty-two".