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1228444812 = 2233723314353
BaseRepresentation
bin100100100111000…
…1001010010001100
310011121112110111000
41021032021102030
510003440213222
6321521500300
742304415520
oct11116112214
93147473430
101228444812
11580474851
122a34a1690
1316767362a
14b9215d80
1572ca89ac
hex4938948c

1228444812 has 384 divisors, whose sum is σ = 4087480320. Its totient is φ = 311351040.

The previous prime is 1228444793. The next prime is 1228444817. The reversal of 1228444812 is 2184448221.

It is a happy number.

1228444812 is a `hidden beast` number, since 122 + 84 + 448 + 12 = 666.

It is a super-2 number, since 2×12284448122 = 3018153312259430688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1228444817) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23178178 + ... + 23178230.

It is an arithmetic number, because the mean of its divisors is an integer number (10644480).

Almost surely, 21228444812 is an apocalyptic number.

1228444812 is a gapful number since it is divisible by the number (12) 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 1228444812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043740160).

1228444812 is an abundant number, since it is smaller than the sum of its proper divisors (2859035508).

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

1228444812 is a wasteful number, since it uses less digits than its factorization.

1228444812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 1228444812 is about 35049.1770516798. The cubic root of 1228444812 is about 1070.9895094265.

It can be divided in two parts, 1228 and 444812, that added together give a triangular number (446040 = T944).

The spelling of 1228444812 in words is "one billion, two hundred twenty-eight million, four hundred forty-four thousand, eight hundred twelve".