Search a number
-
+
222230520 = 233351491381
BaseRepresentation
bin11010011111011…
…11011111111000
3120111011110222000
431033233133320
5423342334040
634015101000
75335633251
oct1517573770
9514143860
10222230520
11104497096
1262511760
133706ba65
142172bb28
151479b130
hexd3ef7f8

222230520 has 128 divisors (see below), whose sum is σ = 746280000. Its totient is φ = 58821120.

The previous prime is 222230513. The next prime is 222230527. The reversal of 222230520 is 25032222.

It is an interprime number because it is at equal distance from previous prime (222230513) and next prime (222230527).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 222230493 and 222230502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222230527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160230 + ... + 161610.

Almost surely, 2222230520 is an apocalyptic number.

222230520 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 222230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373140000).

222230520 is an abundant number, since it is smaller than the sum of its proper divisors (524049480).

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

222230520 is a wasteful number, since it uses less digits than its factorization.

222230520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 222230520 is about 14907.3981633282. The cubic root of 222230520 is about 605.7144032150.

Adding to 222230520 its reverse (25032222), we get a palindrome (247262742).

The spelling of 222230520 in words is "two hundred twenty-two million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 745 894 1080 1192 1341 1381 1490 1788 2235 2682 2762 2980 3576 4023 4143 4470 5364 5524 5960 6705 6905 8046 8286 8940 10728 11048 12429 13410 13810 16092 16572 17880 20115 20715 24858 26820 27620 32184 33144 37287 40230 41430 49716 53640 55240 62145 74574 80460 82860 99432 124290 149148 160920 165720 186435 205769 248580 298296 372870 411538 497160 617307 745740 823076 1028845 1234614 1491480 1646152 1851921 2057690 2469228 3086535 3703842 4115380 4938456 5555763 6173070 7407684 8230760 9259605 11111526 12346140 14815368 18519210 22223052 24692280 27778815 37038420 44446104 55557630 74076840 111115260 222230520