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1228311000 = 23335376797
BaseRepresentation
bin100100100110110…
…1000100111011000
310011121021122221000
41021031220213120
510003421423000
6321514545000
742303320430
oct11115504730
93147248830
101228311000
11580393264
122a3438160
13167627757
14b91bd2c0
1572c7e000
hex493689d8

1228311000 has 512 divisors, whose sum is σ = 4990003200. Its totient is φ = 273715200.

The previous prime is 1228310981. The next prime is 1228311011. The reversal of 1228311000 is 1138221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12662952 + ... + 12663048.

It is an arithmetic number, because the mean of its divisors is an integer number (9746100).

Almost surely, 21228311000 is an apocalyptic number.

1228311000 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 1228311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495001600).

1228311000 is an abundant number, since it is smaller than the sum of its proper divisors (3761692200).

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

1228311000 is a wasteful number, since it uses less digits than its factorization.

1228311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1228311000 is about 35047.2680818349. The cubic root of 1228311000 is about 1070.9506211100.

Adding to 1228311000 its reverse (1138221), we get a palindrome (1229449221).

The spelling of 1228311000 in words is "one billion, two hundred twenty-eight million, three hundred eleven thousand".