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2231221220 = 225353316037
BaseRepresentation
bin1000010011111101…
…1011101111100100
312202111102210002222
42010333123233210
514032143034340
61005222451512
7106202032064
oct20477335744
95674383088
102231221220
11a45514588
12523293b98
13297343457
141724873a4
15d0d378b5
hex84fdbbe4

2231221220 has 24 divisors (see below), whose sum is σ = 4698852984. Its totient is φ = 889957376.

The previous prime is 2231221193. The next prime is 2231221241. The reversal of 2231221220 is 221221322.

It can be written as a sum of positive squares in 4 ways, for example, as 26543104 + 2204678116 = 5152^2 + 46954^2 .

It is a super-3 number, since 3×22312212203 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150959 + ... + 165078.

It is an arithmetic number, because the mean of its divisors is an integer number (195785541).

Almost surely, 22231221220 is an apocalyptic number.

2231221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231221220 is an abundant number, since it is smaller than the sum of its proper divisors (2467631764).

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

2231221220 is a wasteful number, since it uses less digits than its factorization.

2231221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316399 (or 316397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2231221220 is about 47235.8044284206. The cubic root of 2231221220 is about 1306.7150022323.

Adding to 2231221220 its reverse (221221322), we get a palindrome (2452442542).

The spelling of 2231221220 in words is "two billion, two hundred thirty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 353 706 1412 1765 3530 7060 316037 632074 1264148 1580185 3160370 6320740 111561061 223122122 446244244 557805305 1115610610 2231221220