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4222004256 = 2533109127353
BaseRepresentation
bin1111101110100110…
…1010110000100000
3101220020110001001000
43323221222300200
532121313114011
61534540112000
7206424305211
oct37351526040
911806401030
104222004256
111877236318
12999b35600
13523911492
142c0a23408
1519a9c9356
hexfba6ac20

4222004256 has 192 divisors, whose sum is σ = 12560486400. Its totient is φ = 1379524608.

The previous prime is 4222004239. The next prime is 4222004273. The reversal of 4222004256 is 6524002224.

It is a happy number.

4222004256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4222004239) and next prime (4222004273).

It is a super-2 number, since 2×42220042562 = 35650639875364227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11960176 + ... + 11960528.

It is an arithmetic number, because the mean of its divisors is an integer number (65419200).

Almost surely, 24222004256 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 4222004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280243200).

4222004256 is an abundant number, since it is smaller than the sum of its proper divisors (8338482144).

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

4222004256 is a wasteful number, since it uses less digits than its factorization.

4222004256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4222004256 is about 64976.9517290554. The cubic root of 4222004256 is about 1616.2413822679.

The spelling of 4222004256 in words is "four billion, two hundred twenty-two million, four thousand, two hundred fifty-six".