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4224012032 = 28174871993
BaseRepresentation
bin1111101111000101…
…0100111100000000
3101220101020001012002
43323301110330000
532122321341112
61535051123132
7206450336612
oct37361247400
911811201162
104224012032
111878387839
1299a7434a8
13524165306
142c0dc6db2
1519ac741c2
hexfbc54f00

4224012032 has 72 divisors (see below), whose sum is σ = 8950316256. Its totient is φ = 1982693376.

The previous prime is 4224012029. The next prime is 4224012047. The reversal of 4224012032 is 2302104224.

4224012032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4224011995 and 4224012013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118428 + ... + 2120420.

It is an arithmetic number, because the mean of its divisors is an integer number (124309948).

Almost surely, 24224012032 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 4224012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475158128).

4224012032 is an abundant number, since it is smaller than the sum of its proper divisors (4726304224).

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

4224012032 is a wasteful number, since it uses less digits than its factorization.

4224012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4224012032 is about 64992.3998018230. The cubic root of 4224012032 is about 1616.4975431022.

Adding to 4224012032 its reverse (2302104224), we get a palindrome (6526116256).

The spelling of 4224012032 in words is "four billion, two hundred twenty-four million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 487 544 974 1088 1948 1993 2176 3896 3986 4352 7792 7972 8279 15584 15944 16558 31168 31888 33116 33881 62336 63776 66232 67762 124672 127552 132464 135524 255104 264928 271048 510208 529856 542096 970591 1059712 1084192 1941182 2119424 2168384 3882364 4336768 7764728 8673536 15529456 16500047 31058912 33000094 62117824 66000188 124235648 132000376 248471296 264000752 528001504 1056003008 2112006016 4224012032