Search a number
-
+
30220011222000 = 2435321140958363
BaseRepresentation
bin1101101111100001001010…
…00010001011001111110000
310222000000010112121211220220
412313300211002023033300
512430111040333101000
6144134514223133040
76236216023046265
oct667604502131760
9128000115554826
1030220011222000
1196a1264556556
123480a10744180
1313b2972564b92
1476692903526c
15376159e841a0
hex1b7c2508b3f0

30220011222000 has 320 divisors, whose sum is σ = 98132090334720. Its totient is φ = 8000729856000.

The previous prime is 30220011221977. The next prime is 30220011222179. The reversal of 30220011222000 is 22211002203.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517764819 + ... + 517823181.

It is an arithmetic number, because the mean of its divisors is an integer number (306662782296).

Almost surely, 230220011222000 is an apocalyptic number.

30220011222000 is a gapful number since it is divisible by the number (30) 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 30220011222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49066045167360).

30220011222000 is an abundant number, since it is smaller than the sum of its proper divisors (67912079112720).

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

30220011222000 is a wasteful number, since it uses less digits than its factorization.

30220011222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59009 (or 58993 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30220011222000 its reverse (22211002203), we get a palindrome (30242222224203).

The spelling of 30220011222000 in words is "thirty trillion, two hundred twenty billion, eleven million, two hundred twenty-two thousand".