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228499567435440 = 243257311733843907
BaseRepresentation
bin110011111101000110110011…
…100011000101111010110000
31002222001100022201202010022100
4303331012303203011322300
5214422214103230413230
62125551130243340400
766062356202444220
oct6375066343057260
91088040281663270
10228499567435440
1166897138933944
12217648b6981700
139a665557b0b72
14405d61c104080
151b63be8a26660
hexcfd1b38c5eb0

228499567435440 has 480 divisors, whose sum is σ = 905816982859776. Its totient is φ = 50514457835520.

The previous prime is 228499567435361. The next prime is 228499567435463. The reversal of 228499567435440 is 44534765994822.

228499567435440 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 9 + 9 + 5 + 6 + 74 + 3 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 270341967 + ... + 271185873.

Almost surely, 2228499567435440 is an apocalyptic number.

228499567435440 is a gapful number since it is divisible by the number (20) 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 228499567435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452908491429888).

228499567435440 is an abundant number, since it is smaller than the sum of its proper divisors (677317415424336).

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

228499567435440 is a wasteful number, since it uses less digits than its factorization.

228499567435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845697 (or 845688 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 228499567435440 in words is "two hundred twenty-eight trillion, four hundred ninety-nine billion, five hundred sixty-seven million, four hundred thirty-five thousand, four hundred forty".