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4222320 = 243573241
BaseRepresentation
bin10000000110110101110000
321221111221020
4100012311300
52040103240
6230255440
750613654
oct20066560
97844836
104222320
112424323
1214b7580
13b4ab1b
147bca64
155860d0
hex406d70

4222320 has 80 divisors (see below), whose sum is σ = 13323552. Its totient is φ = 1105920.

The previous prime is 4222319. The next prime is 4222343. The reversal of 4222320 is 232224.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4222320.

It is a congruent number.

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, 17400 + ... + 17640.

Almost surely, 24222320 is an apocalyptic number.

4222320 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 4222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661776).

4222320 is an abundant number, since it is smaller than the sum of its proper divisors (9101232).

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

4222320 is a wasteful number, since it uses less digits than its factorization.

4222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4222320 is about 2054.8284599937. The cubic root of 4222320 is about 161.6281671648.

Adding to 4222320 its reverse (232224), we get a palindrome (4454544).

The spelling of 4222320 in words is "four million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 241 292 365 438 482 584 723 730 876 964 1095 1168 1205 1446 1460 1752 1928 2190 2410 2892 2920 3504 3615 3856 4380 4820 5784 5840 7230 8760 9640 11568 14460 17520 17593 19280 28920 35186 52779 57840 70372 87965 105558 140744 175930 211116 263895 281488 351860 422232 527790 703720 844464 1055580 1407440 2111160 4222320