Search a number
-
+
220001102220 = 223519673286751
BaseRepresentation
bin1100110011100100010…
…1100110100110001100
3210000212020212221201010
43030321011212212030
512101030240232340
6245022255045220
721615555341244
oct3147105464614
9700766787633
10220001102220
1185335983349
1236779b10810
1317990cc16c3
14a9105b2b24
155ac935bb80
hex333916698c

220001102220 has 96 divisors (see below), whose sum is σ = 649390049280. Its totient is φ = 55496448000.

The previous prime is 220001102213. The next prime is 220001102221. The reversal of 220001102220 is 22201100022.

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 = 220001102196 and 220001102205.

It is not an unprimeable number, because it can be changed into a prime (220001102221) 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, 623845 + ... + 910595.

It is an arithmetic number, because the mean of its divisors is an integer number (6764479680).

Almost surely, 2220001102220 is an apocalyptic number.

220001102220 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 220001102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324695024640).

220001102220 is an abundant number, since it is smaller than the sum of its proper divisors (429388947060).

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

220001102220 is a wasteful number, since it uses less digits than its factorization.

220001102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287455 (or 287453 counting only the distinct ones).

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

Adding to 220001102220 its reverse (22201100022), we get a palindrome (242202202242).

The spelling of 220001102220 in words is "two hundred twenty billion, one million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 673 1140 1346 2019 2692 3365 4038 6730 8076 10095 12787 13460 20190 25574 38361 40380 51148 63935 76722 127870 153444 191805 255740 286751 383610 573502 767220 860253 1147004 1433755 1720506 2867510 3441012 4301265 5448269 5735020 8602530 10896538 16344807 17205060 21793076 27241345 32689614 54482690 65379228 81724035 108965380 163448070 192983423 326896140 385966846 578950269 771933692 964917115 1157900538 1929834230 2315801076 2894751345 3666685037 3859668460 5789502690 7333370074 11000055111 11579005380 14666740148 18333425185 22000110222 36666850370 44000220444 55000275555 73333700740 110000551110 220001102220