Search a number
-
+
1201224220 = 2257223137389
BaseRepresentation
bin100011110011001…
…0011101000011100
310002201022111211221
41013212103220130
54430003133340
6315110223124
741524144300
oct10746235034
93081274757
101201224220
11567072599
12296354aa4
13161b32781
14b576bd00
15706cd44a
hex47993a1c

1201224220 has 144 divisors (see below), whose sum is σ = 3092281920. Its totient is φ = 390061056.

The previous prime is 1201224217. The next prime is 1201224257. The reversal of 1201224220 is 224221021.

It is a junction number, because it is equal to n+sod(n) for n = 1201224194 and 1201224203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3087786 + ... + 3088174.

It is an arithmetic number, because the mean of its divisors is an integer number (21474180).

Almost surely, 21201224220 is an apocalyptic number.

1201224220 is a gapful number since it is divisible by the number (10) 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 1201224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546140960).

1201224220 is an abundant number, since it is smaller than the sum of its proper divisors (1891057700).

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

1201224220 is a wasteful number, since it uses less digits than its factorization.

1201224220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1201224220 is about 34658.6817406548. The cubic root of 1201224220 is about 1063.0198152185.

Adding to 1201224220 its reverse (224221021), we get a palindrome (1425445241).

The spelling of 1201224220 in words is "one billion, two hundred one million, two hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 137 140 161 196 230 245 274 322 389 460 490 548 644 685 778 805 959 980 1127 1370 1556 1610 1918 1945 2254 2723 2740 3151 3220 3836 3890 4508 4795 5446 5635 6302 6713 7780 8947 9590 10892 11270 12604 13426 13615 15755 17894 19061 19180 22057 22540 26852 27230 31510 33565 35788 38122 44114 44735 53293 54460 62629 63020 67130 76244 88228 89470 95305 106586 110285 125258 134260 154399 178940 190610 213172 220570 250516 266465 308798 313145 373051 381220 438403 441140 532930 617596 626290 746102 771995 876806 1065860 1225739 1252580 1492204 1543990 1753612 1865255 2192015 2451478 2611357 3087980 3730510 4384030 4902956 5222714 6128695 7461020 8580173 8768060 10445428 12257390 13056785 17160346 24514780 26113570 34320692 42900865 52227140 60061211 85801730 120122422 171603460 240244844 300306055 600612110 1201224220