Search a number
-
+
1012220220 = 223511972163
BaseRepresentation
bin111100010101010…
…100000100111100
32121112200010002210
4330111110010330
54033112021340
6244235220420
734040505234
oct7425240474
92545603083
101012220220
1147a410040
12242ba7710
1313192849b
149860ccc4
155dce7180
hex3c55413c

1012220220 has 144 divisors (see below), whose sum is σ = 3143242368. Its totient is φ = 241367040.

The previous prime is 1012220191. The next prime is 1012220227. The reversal of 1012220220 is 220222101.

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 = 1012220196 and 1012220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012220227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6209859 + ... + 6210021.

It is an arithmetic number, because the mean of its divisors is an integer number (21828072).

Almost surely, 21012220220 is an apocalyptic number.

1012220220 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 1012220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571621184).

1012220220 is an abundant number, since it is smaller than the sum of its proper divisors (2131022148).

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

1012220220 is a wasteful number, since it uses less digits than its factorization.

1012220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1012220220 is about 31815.4085310876. The cubic root of 1012220220 is about 1004.0569257629.

Adding to 1012220220 its reverse (220222101), we get a palindrome (1232442321).

The spelling of 1012220220 in words is "one billion, twelve million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 163 165 194 220 291 326 330 388 485 489 582 652 660 815 970 978 1067 1164 1455 1630 1793 1940 1956 2134 2445 2910 3201 3260 3586 4268 4890 5335 5379 5820 6402 7172 8965 9409 9780 10670 10758 12804 15811 16005 17930 18818 21340 21516 26895 28227 31622 32010 35860 37636 47045 47433 53790 56454 63244 64020 79055 94090 94866 103499 107580 112908 141135 158110 173921 188180 189732 206998 237165 282270 310497 316220 347842 413996 474330 517495 521763 564540 620994 695684 869605 948660 1034990 1043526 1241988 1533667 1552485 1739210 2069980 2087052 2608815 3067334 3104970 3478420 4601001 5217630 6134668 6209940 7668335 9202002 10435260 15336670 16870337 18404004 23005005 30673340 33740674 46010010 50611011 67481348 84351685 92020020 101222022 168703370 202444044 253055055 337406740 506110110 1012220220