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4222944000 = 283253113143
BaseRepresentation
bin1111101110110101…
…0000001100000000
3101220022012210010100
43323231100030000
532122033202000
61535012202400
7206435301042
oct37355201400
911808183110
104222944000
111877818370
1299a309400
13523b80142
142c0bc9a92
1519ab12a00
hexfbb50300

4222944000 has 864 divisors, whose sum is σ = 17509459968. Its totient is φ = 967680000.

The previous prime is 4222943999. The next prime is 4222944029. The reversal of 4222944000 is 4492224.

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, 98207979 + ... + 98208021.

Almost surely, 24222944000 is an apocalyptic number.

4222944000 is a gapful number since it is divisible by the number (40) 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 4222944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8754729984).

4222944000 is an abundant number, since it is smaller than the sum of its proper divisors (13286515968).

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

4222944000 is a wasteful number, since it uses less digits than its factorization.

4222944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4222944000 is about 64984.1826908672. The cubic root of 4222944000 is about 1616.3612890210.

The spelling of 4222944000 in words is "four billion, two hundred twenty-two million, nine hundred forty-four thousand".