Search a number
-
+
4198905228 = 22371914917657
BaseRepresentation
bin1111101001000110…
…0011010110001100
3101211121222111010110
43322101203112030
532044404431403
61532353040020
7206024051130
oct37221432614
911747874113
104198905228
111865199711
12992256010
1351bbb460b
142bb92d3c0
15198965103
hexfa46358c

4198905228 has 96 divisors (see below), whose sum is σ = 11866176000. Its totient is φ = 1128854016.

The previous prime is 4198905211. The next prime is 4198905229. The reversal of 4198905228 is 8225098914.

4198905228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41989052282 = 35261610227451463968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4198905229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228976 + ... + 246632.

It is an arithmetic number, because the mean of its divisors is an integer number (123606000).

Almost surely, 24198905228 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 4198905228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933088000).

4198905228 is an abundant number, since it is smaller than the sum of its proper divisors (7667270772).

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

4198905228 is a wasteful number, since it uses less digits than its factorization.

4198905228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17839 (or 17837 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 4198905228 is about 64798.9600842483. The cubic root of 4198905228 is about 1613.2884484056.

The spelling of 4198905228 in words is "four billion, one hundred ninety-eight million, nine hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 149 228 266 298 399 447 532 596 798 894 1043 1596 1788 2086 2831 3129 4172 5662 6258 8493 11324 12516 16986 17657 19817 33972 35314 39634 52971 59451 70628 79268 105942 118902 123599 211884 237804 247198 335483 370797 494396 670966 741594 1006449 1341932 1483188 2012898 2348381 2630893 4025796 4696762 5261786 7045143 7892679 9393524 10523572 14090286 15785358 18416251 28180572 31570716 36832502 49986967 55248753 73665004 99973934 110497506 149960901 199947868 220995012 299921802 349908769 599843604 699817538 1049726307 1399635076 2099452614 4198905228