Search a number
-
+
2201021220 = 2235374323057
BaseRepresentation
bin1000001100110000…
…1110101100100100
312200101121110111110
42003030032230210
514001430134340
61002223305020
7105354241326
oct20314165444
95611543443
102201021220
11a2a467902
1251514b170
13290ccb428
1416c465616
15cd36e680
hex8330eb24

2201021220 has 96 divisors (see below), whose sum is σ = 6476899968. Its totient is φ = 557770752.

The previous prime is 2201021209. The next prime is 2201021227. The reversal of 2201021220 is 221201022.

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 = 2201021196 and 2201021205.

It is not an unprimeable number, because it can be changed into a prime (2201021227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83932 + ... + 106988.

It is an arithmetic number, because the mean of its divisors is an integer number (67467708).

Almost surely, 22201021220 is an apocalyptic number.

2201021220 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 2201021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238449984).

2201021220 is an abundant number, since it is smaller than the sum of its proper divisors (4275878748).

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

2201021220 is a wasteful number, since it uses less digits than its factorization.

2201021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23149 (or 23147 counting only the distinct ones).

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

The square root of 2201021220 is about 46915.0425769816. The cubic root of 2201021220 is about 1300.7926566300.

Adding to 2201021220 its reverse (221201022), we get a palindrome (2422222242).

The spelling of 2201021220 in words is "two billion, two hundred one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 43 60 74 86 111 129 148 172 185 215 222 258 370 430 444 516 555 645 740 860 1110 1290 1591 2220 2580 3182 4773 6364 7955 9546 15910 19092 23057 23865 31820 46114 47730 69171 92228 95460 115285 138342 230570 276684 345855 461140 691710 853109 991451 1383420 1706218 1982902 2559327 2974353 3412436 3965804 4265545 4957255 5118654 5948706 8531090 9914510 10237308 11897412 12796635 14871765 17062180 19829020 25593270 29743530 36683687 51186540 59487060 73367374 110051061 146734748 183418435 220102122 366836870 440204244 550255305 733673740 1100510610 2201021220