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1122210000 = 24325437337
BaseRepresentation
bin100001011100011…
…1001000011010000
32220012122011201100
41002320321003100
54244241210000
6303204504400
736544425162
oct10270710320
92805564640
101122210000
11526504a8a
122739ab100
1314b658cb2
14a9080932
15687c1a00
hex42e390d0

1122210000 has 300 divisors, whose sum is σ = 4042559092. Its totient is φ = 290304000.

The previous prime is 1122209971. The next prime is 1122210007. The reversal of 1122210000 is 122211.

It can be written as a sum of positive squares in 10 ways, for example, as 754491024 + 367718976 = 27468^2 + 19176^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122210007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3329832 + ... + 3330168.

Almost surely, 21122210000 is an apocalyptic number.

1122210000 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 1122210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021279546).

1122210000 is an abundant number, since it is smaller than the sum of its proper divisors (2920349092).

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

1122210000 is a wasteful number, since it uses less digits than its factorization.

1122210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1122210000 is about 33499.4029797547. The cubic root of 1122210000 is about 1039.1814318234.

Adding to 1122210000 its reverse (122211), we get a palindrome (1122332211).

The spelling of 1122210000 in words is "one billion, one hundred twenty-two million, two hundred ten thousand".