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2220131232000 = 28325311263709
BaseRepresentation
bin100000010011101010001…
…000100010100100000000
321212020112202121002011200
4200103222020202210000
5242333312043411000
64415525245141200
7316253631050403
oct40235210424400
97766482532150
102220131232000
11786609224600
122ba33955a800
131314854b8636
1479652457d3a
153cb3d991500
hex204ea222900

2220131232000 has 648 divisors, whose sum is σ = 8781083296440. Its totient is φ = 538205184000.

The previous prime is 2220131231947. The next prime is 2220131232013. The reversal of 2220131232000 is 2321310222.

It can be written as a sum of positive squares in 4 ways, for example, as 431428276224 + 1788702955776 = 656832^2 + 1337424^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34816146 + ... + 34879854.

Almost surely, 22220131232000 is an apocalyptic number.

2220131232000 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 2220131232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390541648220).

2220131232000 is an abundant number, since it is smaller than the sum of its proper divisors (6560952064440).

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

2220131232000 is a wasteful number, since it uses less digits than its factorization.

2220131232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63768 (or 63730 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2220131232000 its reverse (2321310222), we get a palindrome (2222452542222).

The spelling of 2220131232000 in words is "two trillion, two hundred twenty billion, one hundred thirty-one million, two hundred thirty-two thousand".