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1228320000 = 283254853
BaseRepresentation
bin100100100110110…
…1010110100000000
310011121022010021100
41021031222310000
510003422220000
6321515054400
742303355605
oct11115526400
93147263240
101228320000
11580399aa6
122a3441400
1316762b88b
14b91c26ac
1572c81a00
hex4936ad00

1228320000 has 270 divisors, whose sum is σ = 4430708282. Its totient is φ = 327168000.

The previous prime is 1228319977. The next prime is 1228320001. The reversal of 1228320000 is 238221.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 810199296 + 418120704 = 28464^2 + 20448^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228320001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439574 + ... + 1440426.

Almost surely, 21228320000 is an apocalyptic number.

1228320000 is a gapful number since it is divisible by the number (10) 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 1228320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215354141).

1228320000 is an abundant number, since it is smaller than the sum of its proper divisors (3202388282).

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

1228320000 is an frugal number, since it uses more digits than its factorization.

1228320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1228320000 is about 35047.3964796246. The cubic root of 1228320000 is about 1070.9532367701.

Adding to 1228320000 its reverse (238221), we get a palindrome (1228558221).

The spelling of 1228320000 in words is "one billion, two hundred twenty-eight million, three hundred twenty thousand".