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1222740000 = 2532546793
BaseRepresentation
bin100100011100001…
…1000100000100000
310011012210121221200
41020320120200200
510001010140000
6321155321200
742205055436
oct11070304040
93135717850
101222740000
11578228729
122a15b0200
13166426ac1
14b856cd56
157252d500
hex48e18820

1222740000 has 180 divisors, whose sum is σ = 4345707366. Its totient is φ = 326016000.

The previous prime is 1222739993. The next prime is 1222740019. The reversal of 1222740000 is 472221.

It can be written as a sum of positive squares in 5 ways, for example, as 17539344 + 1205200656 = 4188^2 + 34716^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 29 ways as a sum of consecutive naturals, for example, 176604 + ... + 183396.

Almost surely, 21222740000 is an apocalyptic number.

1222740000 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 1222740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172853683).

1222740000 is an abundant number, since it is smaller than the sum of its proper divisors (3122967366).

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

1222740000 is an equidigital number, since it uses as much as digits as its factorization.

1222740000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6829 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1222740000 is about 34967.6993810002. The cubic root of 1222740000 is about 1069.3290695922.

The spelling of 1222740000 in words is "one billion, two hundred twenty-two million, seven hundred forty thousand".