Search a number
-
+
4222404640 = 255297911519
BaseRepresentation
bin1111101110101100…
…1100100000100000
3101220021012101021001
43323223030200200
532121413422030
61534552441344
7206430563416
oct37353144040
911807171231
104222404640
11187748a113
1299a0a9254
13523a217ac
142c0ac92b6
1519aa57cca
hexfbacc820

4222404640 has 96 divisors (see below), whose sum is σ = 10450944000. Its totient is φ = 1609939968.

The previous prime is 4222404619. The next prime is 4222404671. The reversal of 4222404640 is 464042224.

It is a junction number, because it is equal to n+sod(n) for n = 4222404599 and 4222404608.

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, 360801 + ... + 372319.

It is an arithmetic number, because the mean of its divisors is an integer number (108864000).

Almost surely, 24222404640 is an apocalyptic number.

4222404640 is a gapful number since it is divisible by the number (40) 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 4222404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472000).

4222404640 is an abundant number, since it is smaller than the sum of its proper divisors (6228539360).

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

4222404640 is a wasteful number, since it uses less digits than its factorization.

4222404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4222404640 is about 64980.0326254150. The cubic root of 4222404640 is about 1616.2924714896.

Adding to 4222404640 its reverse (464042224), we get a palindrome (4686446864).

The spelling of 4222404640 in words is "four billion, two hundred twenty-two million, four hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 79 80 116 145 158 160 232 290 316 395 464 580 632 790 928 1160 1264 1580 2291 2320 2528 3160 4582 4640 6320 9164 11455 11519 12640 18328 22910 23038 36656 45820 46076 57595 73312 91640 92152 115190 183280 184304 230380 334051 366560 368608 460760 668102 910001 921520 1336204 1670255 1820002 1843040 2672408 3340510 3640004 4550005 5344816 6681020 7280008 9100010 10689632 13362040 14560016 18200020 26390029 26724080 29120032 36400040 52780058 53448160 72800080 105560116 131950145 145600160 211120232 263900290 422240464 527800580 844480928 1055601160 2111202320 4222404640