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4225854336 = 273112103883
BaseRepresentation
bin1111101111100001…
…0110101110000000
3101220111200122100120
43323320112232000
532123304314321
61535154420240
7206502112014
oct37370265600
911814618316
104225854336
111879425a00
1299b291680
1352465ba32
142c1346544
1519aed9ec6
hexfbe16b80

4225854336 has 192 divisors, whose sum is σ = 12472037760. Its totient is φ = 1266693120.

The previous prime is 4225854319. The next prime is 4225854337. The reversal of 4225854336 is 6334585224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225854337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4785351 + ... + 4786233.

It is an arithmetic number, because the mean of its divisors is an integer number (64958530).

Almost surely, 24225854336 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 4225854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236018880).

4225854336 is an abundant number, since it is smaller than the sum of its proper divisors (8246183424).

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

4225854336 is a wasteful number, since it uses less digits than its factorization.

4225854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1002 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 4225854336 is about 65006.5714831970. The cubic root of 4225854336 is about 1616.7325208918.

The spelling of 4225854336 in words is "four billion, two hundred twenty-five million, eight hundred fifty-four thousand, three hundred thirty-six".