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1228496544 = 25341123917
BaseRepresentation
bin100100100111001…
…0101111010100000
310011121122002110000
41021032111322200
510003443342134
6321522540000
742305022402
oct11116257240
93147562400
101228496544
115804aa700
122a3507600
13167691042
14b922ab72
1572cb8e99
hex49395ea0

1228496544 has 180 divisors, whose sum is σ = 3972299562. Its totient is φ = 372176640.

The previous prime is 1228496543. The next prime is 1228496557. The reversal of 1228496544 is 4456948221.

It is a happy number.

1228496544 is a `hidden beast` number, since 1 + 22 + 84 + 9 + 6 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 882090000 + 346406544 = 29700^2 + 18612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1228496544.

It is not an unprimeable number, because it can be changed into a prime (1228496543) 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, 311674 + ... + 315590.

Almost surely, 21228496544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228496544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986149781).

1228496544 is an abundant number, since it is smaller than the sum of its proper divisors (2743803018).

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

1228496544 is a wasteful number, since it uses less digits than its factorization.

1228496544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3933 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 1228496544 is about 35049.9150355604. The cubic root of 1228496544 is about 1071.0045429744.

The spelling of 1228496544 in words is "one billion, two hundred twenty-eight million, four hundred ninety-six thousand, five hundred forty-four".