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228199446574848 = 283672171467919
BaseRepresentation
bin110011111000101111010010…
…111100110111011100000000
31002220222122122210101202000000
4303320233102330313130000
5214402304431310343343
62125201213432000000
766031603006304400
oct6370572274673400
91086878583352000
10228199446574848
1166790929498261
12217166b8b30000
139a44166916718
14404ccaad00800
151b5aed0941ed3
hexcf8bd2f37700

228199446574848 has 756 divisors, whose sum is σ = 841183626296160. Its totient is φ = 61364515258368.

The previous prime is 228199446574843. The next prime is 228199446574861. The reversal of 228199446574848 is 848475644991822.

228199446574848 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 9 + 9 + 4 + 465 + 74 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228199446574843) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 154723833 + ... + 156191751.

It is an arithmetic number, because the mean of its divisors is an integer number (1112676754360).

Almost surely, 2228199446574848 is an apocalyptic number.

228199446574848 is a gapful number since it is divisible by the number (28) 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 228199446574848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420591813148080).

228199446574848 is an abundant number, since it is smaller than the sum of its proper divisors (612984179721312).

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

228199446574848 is an equidigital number, since it uses as much as digits as its factorization.

228199446574848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467984 (or 1467948 counting only the distinct ones).

The product of its digits is 8918138880, while the sum is 81.

The spelling of 228199446574848 in words is "two hundred twenty-eight trillion, one hundred ninety-nine billion, four hundred forty-six million, five hundred seventy-four thousand, eight hundred forty-eight".