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4222203264 = 273229472689
BaseRepresentation
bin1111101110101001…
…1011010110000000
3101220020211011000200
43323222123112000
532121341001024
61534544245200
7206426064336
oct37352332600
911806734020
104222203264
111877361894
1299a010800
13523980c36
142c0a75b56
1519aa182c9
hexfba9b580

4222203264 has 192 divisors, whose sum is σ = 12840984000. Its totient is φ = 1329463296.

The previous prime is 4222203211. The next prime is 4222203331. The reversal of 4222203264 is 4623022224.

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 an unprimeable number.

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, 1568832 + ... + 1571520.

It is an arithmetic number, because the mean of its divisors is an integer number (66880125).

Almost surely, 24222203264 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 4222203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420492000).

4222203264 is an abundant number, since it is smaller than the sum of its proper divisors (8618780736).

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

4222203264 is a wasteful number, since it uses less digits than its factorization.

4222203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4222203264 is about 64978.4830847874. The cubic root of 4222203264 is about 1616.2667762034.

Adding to 4222203264 its reverse (4623022224), we get a palindrome (8845225488).

The spelling of 4222203264 in words is "four billion, two hundred twenty-two million, two hundred three thousand, two hundred sixty-four".