Search a number
-
+
22030320 = 24351323307
BaseRepresentation
bin101010000001…
…0011111110000
31112110020220210
41110002133300
521114432240
62104104120
7355153224
oct124023760
945406823
1022030320
1111487784
127465040
1347445c0
142cd6784
151e02780
hex15027f0

22030320 has 160 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 5170176.

The previous prime is 22030301. The next prime is 22030321. The reversal of 22030320 is 2303022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22030296 and 22030305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22030321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71607 + ... + 71913.

Almost surely, 222030320 is an apocalyptic number.

22030320 is a gapful number since it is divisible by the number (20) 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 22030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

22030320 is an abundant number, since it is smaller than the sum of its proper divisors (54964752).

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

22030320 is a wasteful number, since it uses less digits than its factorization.

22030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 22030320 is about 4693.6467698369. The cubic root of 22030320 is about 280.3325979644.

Adding to 22030320 its reverse (2303022), we get a palindrome (24333342).

The spelling of 22030320 in words is "twenty-two million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 26 30 39 40 46 48 52 60 65 69 78 80 92 104 115 120 130 138 156 184 195 208 230 240 260 276 299 307 312 345 368 390 460 520 552 598 614 624 690 780 897 920 921 1040 1104 1196 1228 1380 1495 1535 1560 1794 1840 1842 2392 2456 2760 2990 3070 3120 3588 3684 3991 4485 4605 4784 4912 5520 5980 6140 7061 7176 7368 7982 8970 9210 11960 11973 12280 14122 14352 14736 15964 17940 18420 19955 21183 23920 23946 24560 28244 31928 35305 35880 36840 39910 42366 47892 56488 59865 63856 70610 71760 73680 79820 84732 91793 95784 105915 112976 119730 141220 159640 169464 183586 191568 211830 239460 275379 282440 319280 338928 367172 423660 458965 478920 550758 564880 734344 847320 917930 957840 1101516 1376895 1468688 1694640 1835860 2203032 2753790 3671720 4406064 5507580 7343440 11015160 22030320