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4225320720 = 243355033889
BaseRepresentation
bin1111101111011001…
…0100011100010000
3101220110200112101000
43323312110130100
532123140230340
61535135142000
7206464430205
oct37366243420
911813615330
104225320720
1118790a0aa5
1299b074900
13524502b9a
142c1247cac
1519ae31d30
hexfbd94710

4225320720 has 160 divisors (see below), whose sum is σ = 14586566400. Its totient is φ = 1124222976.

The previous prime is 4225320713. The next prime is 4225320751. The reversal of 4225320720 is 270235224.

It is a super-2 number, since 2×42253207202 = 35706670373722636800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084536 + ... + 1088424.

It is an arithmetic number, because the mean of its divisors is an integer number (91166040).

Almost surely, 24225320720 is an apocalyptic number.

4225320720 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 4225320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293283200).

4225320720 is an abundant number, since it is smaller than the sum of its proper divisors (10361245680).

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

4225320720 is a wasteful number, since it uses less digits than its factorization.

4225320720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4414 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4225320720 is about 65002.4670301059. The cubic root of 4225320720 is about 1616.6644675399.

Adding to 4225320720 its reverse (270235224), we get a palindrome (4495555944).

The spelling of 4225320720 in words is "four billion, two hundred twenty-five million, three hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 503 540 720 1006 1080 1509 2012 2160 2515 3018 3889 4024 4527 5030 6036 7545 7778 8048 9054 10060 11667 12072 13581 15090 15556 18108 19445 20120 22635 23334 24144 27162 30180 31112 35001 36216 38890 40240 45270 46668 54324 58335 60360 62224 67905 70002 72432 77780 90540 93336 105003 108648 116670 120720 135810 140004 155560 175005 181080 186672 210006 217296 233340 271620 280008 311120 350010 362160 420012 466680 525015 543240 560016 700020 840024 933360 1050030 1086480 1400040 1680048 1956167 2100060 2800080 3912334 4200120 5868501 7824668 8400240 9780835 11737002 15649336 17605503 19561670 23474004 29342505 31298672 35211006 39123340 46948008 52816509 58685010 70422012 78246680 88027515 93896016 105633018 117370020 140844024 156493360 176055030 211266036 234740040 264082545 281688048 352110060 422532072 469480080 528165090 704220120 845064144 1056330180 1408440240 2112660360 4225320720