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4272222724 = 2271116783059
BaseRepresentation
bin1111111010100100…
…1111001000000100
3102000201221101211021
43332221033020010
532222142111344
61543532320524
7210604202560
oct37651171004
912021841737
104272222724
1118a2616190
129b2913144
13531145153
142c75766a0
151a00e8b84
hexfea4f204

4272222724 has 48 divisors (see below), whose sum is σ = 9377141760. Its totient is φ = 1654515360.

The previous prime is 4272222679. The next prime is 4272222737.

4272222724 is nontrivially palindromic in base 10.

4272222724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4272222724.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9907 + ... + 92965.

It is an arithmetic number, because the mean of its divisors is an integer number (195357120).

Almost surely, 24272222724 is an apocalyptic number.

4272222724 is a gapful number since it is divisible by the number (44) 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 4272222724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688570880).

4272222724 is an abundant number, since it is smaller than the sum of its proper divisors (5104919036).

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

4272222724 is a wasteful number, since it uses less digits than its factorization.

4272222724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83248 (or 83246 counting only the distinct ones).

The product of its digits is 50176, while the sum is 34.

The square root of 4272222724 is about 65362.2423421963. The cubic root of 4272222724 is about 1622.6242489269.

The spelling of 4272222724 in words is "four billion, two hundred seventy-two million, two hundred twenty-two thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 167 308 334 668 1169 1837 2338 3674 4676 7348 12859 25718 51436 83059 166118 332236 581413 913649 1162826 1827298 2325652 3654596 6395543 12791086 13870853 25582172 27741706 55483412 97095971 152579383 194191942 305158766 388383884 610317532 1068055681 2136111362 4272222724