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28222354368 = 263613193179
BaseRepresentation
bin11010010010001011…
…101111001111000000
32200211212100011000000
4122102023233033000
5430244410314433
620544251000000
72016243024345
oct322213571700
980755304000
1028222354368
1110a7286860a
125577739000
13287a000c90
14151a3107cc
15b02a39113
hex6922ef3c0

28222354368 has 784 divisors, whose sum is σ = 99499724800. Its totient is φ = 7860602880.

The previous prime is 28222354343. The next prime is 28222354397. The reversal of 28222354368 is 86345322282.

It is a happy number.

28222354368 is a `hidden beast` number, since 2 + 8 + 22 + 23 + 543 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 357244953 + ... + 357245031.

Almost surely, 228222354368 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 28222354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49749862400).

28222354368 is an abundant number, since it is smaller than the sum of its proper divisors (71277370432).

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

28222354368 is a wasteful number, since it uses less digits than its factorization.

28222354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 147 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 28222354368 in words is "twenty-eight billion, two hundred twenty-two million, three hundred fifty-four thousand, three hundred sixty-eight".