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4222448406 = 233111767792
BaseRepresentation
bin1111101110101101…
…0111001100010110
3101220021021121022000
43323223113030112
532121421322111
61534553420130
7206431135131
oct37353271426
911807247260
104222448406
111877509a90
1299a10a646
13523a386a7
142c0adb218
1519aa65c56
hexfbad7316

4222448406 has 192 divisors, whose sum is σ = 11141141760. Its totient is φ = 1171272960.

The previous prime is 4222448383. The next prime is 4222448441. The reversal of 4222448406 is 6048442224.

It is a happy number.

4222448406 is a `hidden beast` number, since 4 + 2 + 2 + 244 + 8 + 406 = 666.

It is a congruent number.

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, 53448675 + ... + 53448753.

It is an arithmetic number, because the mean of its divisors is an integer number (58026780).

Almost surely, 24222448406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222448406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570570880).

4222448406 is an abundant number, since it is smaller than the sum of its proper divisors (6918693354).

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

4222448406 is a wasteful number, since it uses less digits than its factorization.

4222448406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 4222448406 is about 64980.3693895318. The cubic root of 4222448406 is about 1616.2980558598.

The spelling of 4222448406 in words is "four billion, two hundred twenty-two million, four hundred forty-eight thousand, four hundred six".