[go: up one dir, main page]

Search a number
-
+
2222245120 = 2859771777
BaseRepresentation
bin1000010001110100…
…1100010100000000
312201212112202012211
42010131030110000
514022343320440
61004302231504
7106032525514
oct20435142400
95655482184
102222245120
11a40443717
12520285594
1329551c954
141711cc144
15d0162eea
hex8474c500

2222245120 has 72 divisors (see below), whose sum is σ = 5331418344. Its totient is φ = 887488512.

The previous prime is 2222245099. The next prime is 2222245121. The reversal of 2222245120 is 215422222.

It can be written as a sum of positive squares in 4 ways, for example, as 686859264 + 1535385856 = 26208^2 + 39184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2222245091 and 2222245100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222245121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249672 + ... + 1251448.

It is an arithmetic number, because the mean of its divisors is an integer number (74047477).

Almost surely, 22222245120 is an apocalyptic number.

2222245120 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 2222245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665709172).

2222245120 is an abundant number, since it is smaller than the sum of its proper divisors (3109173224).

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

2222245120 is an equidigital number, since it uses as much as digits as its factorization.

2222245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2222245120 is about 47140.6949460867. The cubic root of 2222245120 is about 1304.9603624627.

Adding to 2222245120 its reverse (215422222), we get a palindrome (2437667342).

The spelling of 2222245120 in words is "two billion, two hundred twenty-two million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 977 1280 1777 1954 3554 3908 4885 7108 7816 8885 9770 14216 15632 17770 19540 28432 31264 35540 39080 56864 62528 71080 78160 113728 125056 142160 156320 227456 250112 284320 312640 454912 568640 625280 1137280 1250560 1736129 2274560 3472258 6944516 8680645 13889032 17361290 27778064 34722580 55556128 69445160 111112256 138890320 222224512 277780640 444449024 555561280 1111122560 2222245120