Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
4228394160 = 243598317923
BaseRepresentation
bin1111110000001000…
…0010110010110000
3101220200110200100010
43330002002302300
532124432103120
61535325054520
7206532520524
oct37402026260
911820420303
104228394160
11187a900131
129a00b7440
1352503aaa3
142c1807d84
1519b33c7e0
hexfc082cb0

4228394160 has 80 divisors (see below), whose sum is σ = 13122088704. Its totient is φ = 1126361856.

The previous prime is 4228394147. The next prime is 4228394161. The reversal of 4228394160 is 614938224.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4228394161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226959 + ... + 244881.

Almost surely, 24228394160 is an apocalyptic number.

4228394160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4228394160 is an abundant number, since it is smaller than the sum of its proper divisors (8893694544).

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

4228394160 is a wasteful number, since it uses less digits than its factorization.

4228394160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18922 (or 18916 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4228394160 is about 65026.1036815216. The cubic root of 4228394160 is about 1617.0563523482.

The spelling of 4228394160 in words is "four billion, two hundred twenty-eight million, three hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 983 1966 2949 3932 4915 5898 7864 9830 11796 14745 15728 17923 19660 23592 29490 35846 39320 47184 53769 58980 71692 78640 89615 107538 117960 143384 179230 215076 235920 268845 286768 358460 430152 537690 716920 860304 1075380 1433840 2150760 4301520 17618309 35236618 52854927 70473236 88091545 105709854 140946472 176183090 211419708 264274635 281892944 352366180 422839416 528549270 704732360 845678832 1057098540 1409464720 2114197080 4228394160