Search a number
-
+
4221160192 = 28232959419
BaseRepresentation
bin1111101110011001…
…1100101100000000
3101220011212011012101
43323212130230000
532121104111232
61534510040144
7206414161324
oct37346345400
911804764171
104221160192
11187680a147
129997a9054
135236a7232
142c0883984
1519a8ae1e7
hexfb99cb00

4221160192 has 144 divisors (see below), whose sum is σ = 9271584000. Its totient is φ = 1911590912.

The previous prime is 4221160189. The next prime is 4221160211. The reversal of 4221160192 is 2910611224.

4221160192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4221160192.

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, 10074159 + ... + 10074577.

It is an arithmetic number, because the mean of its divisors is an integer number (64386000).

Almost surely, 24221160192 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 4221160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635792000).

4221160192 is an abundant number, since it is smaller than the sum of its proper divisors (5050423808).

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

4221160192 is a wasteful number, since it uses less digits than its factorization.

4221160192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 4221160192 is about 64970.4563013067. The cubic root of 4221160192 is about 1616.1336686478.

The spelling of 4221160192 in words is "four billion, two hundred twenty-one million, one hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 29 32 46 58 59 64 92 116 118 128 184 232 236 256 368 419 464 472 667 736 838 928 944 1334 1357 1472 1676 1711 1856 1888 2668 2714 2944 3352 3422 3712 3776 5336 5428 5888 6704 6844 7424 7552 9637 10672 10856 12151 13408 13688 15104 19274 21344 21712 24302 24721 26816 27376 38548 39353 42688 43424 48604 49442 53632 54752 77096 78706 85376 86848 97208 98884 107264 109504 154192 157412 170752 173696 194416 197768 219008 279473 308384 314824 347392 388832 395536 438016 558946 568583 616768 629648 716909 777664 791072 1117892 1137166 1233536 1259296 1433818 1555328 1582144 2235784 2274332 2467072 2518592 2867636 3110656 3164288 4471568 4548664 5037184 5735272 6328576 8943136 9097328 10074368 11470544 16488907 17886272 18194656 22941088 32977814 35772544 36389312 45882176 65955628 71545088 72778624 91764352 131911256 145557248 183528704 263822512 527645024 1055290048 2110580096 4221160192