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4450222656 = 2632113741463
BaseRepresentation
bin1000010010100000…
…10000001001000000
3102111010212201211100
410021100100021000
533103224111111
62013331414400
7215165161035
oct41120201100
912433781740
104450222656
111984042170
12a42454400
1355bc98859
1430306d38c
151b0a59756
hex109410240

4450222656 has 336 divisors, whose sum is σ = 14671657728. Its totient is φ = 1277337600.

The previous prime is 4450222627. The next prime is 4450222661. The reversal of 4450222656 is 6562220544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4450222656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9611481 + ... + 9611943.

It is an arithmetic number, because the mean of its divisors is an integer number (43665648).

Almost surely, 24450222656 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 4450222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335828864).

4450222656 is an abundant number, since it is smaller than the sum of its proper divisors (10221435072).

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

4450222656 is a wasteful number, since it uses less digits than its factorization.

4450222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4450222656 is about 66709.9891770340. The cubic root of 4450222656 is about 1644.8535890856.

The spelling of 4450222656 in words is "four billion, four hundred fifty million, two hundred twenty-two thousand, six hundred fifty-six".