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2221200344 = 2311233135401
BaseRepresentation
bin1000010001100100…
…1101001111011000
312201210120200001102
42010121031033120
514022111402334
61004224010532
7106020614516
oct20431151730
95653520042
102221200344
11a3a89a770
1251ba60a48
1329524523c
14170dd94b6
15d000867e
hex8464d3d8

2221200344 has 64 divisors (see below), whose sum is σ = 4893972480. Its totient is φ = 934560000.

The previous prime is 2221200341. The next prime is 2221200349. The reversal of 2221200344 is 4430021222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221200341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45044 + ... + 80444.

It is an arithmetic number, because the mean of its divisors is an integer number (76468320).

Almost surely, 22221200344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221200344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446986240).

2221200344 is an abundant number, since it is smaller than the sum of its proper divisors (2672772136).

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

2221200344 is a wasteful number, since it uses less digits than its factorization.

2221200344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35472 (or 35468 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2221200344 is about 47129.6121774835. The cubic root of 2221200344 is about 1304.7558238222.

Adding to 2221200344 its reverse (4430021222), we get a palindrome (6651221566).

The spelling of 2221200344 in words is "two billion, two hundred twenty-one million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 184 248 253 341 506 682 713 1012 1364 1426 2024 2728 2852 5704 7843 15686 31372 35401 62744 70802 141604 283208 389411 778822 814223 1097431 1557644 1628446 2194862 3115288 3256892 4389724 6513784 8779448 8956453 12071741 17912906 24143482 25240913 35825812 48286964 50481826 71651624 96573928 100963652 201927304 277650043 555300086 1110600172 2221200344