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2230222021120 = 2955091711553
BaseRepresentation
bin100000011101000011100…
…101110110001000000000
321220012121000012021120001
4200131003211312020000
5243014443314133440
64424314433525344
7320061660252562
oct40350345661000
97805530167501
102230222021120
1178a917209845
12300294a13854
13132402c42c82
1479d2c691332
153d02e7d4b9a
hex20743976200

2230222021120 has 80 divisors (see below), whose sum is σ = 5357814410520. Its totient is φ = 890335657984.

The previous prime is 2230222021063. The next prime is 2230222021147. The reversal of 2230222021120 is 211202220322.

It can be written as a sum of positive squares in 4 ways, for example, as 1732824711424 + 497397309696 = 1316368^2 + 705264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447264 + ... + 2158816.

Almost surely, 22230222021120 is an apocalyptic number.

2230222021120 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 2230222021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678907205260).

2230222021120 is an abundant number, since it is smaller than the sum of its proper divisors (3127592389400).

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

2230222021120 is an equidigital number, since it uses as much as digits as its factorization.

2230222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712085 (or 1712069 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2230222021120 its reverse (211202220322), we get a palindrome (2441424241442).

The spelling of 2230222021120 in words is "two trillion, two hundred thirty billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 509 512 640 1018 1280 2036 2545 2560 4072 5090 8144 10180 16288 20360 32576 40720 65152 81440 130304 162880 260608 325760 651520 1303040 1711553 3423106 6846212 8557765 13692424 17115530 27384848 34231060 54769696 68462120 109539392 136924240 219078784 273848480 438157568 547696960 871180477 876315136 1095393920 1742360954 2190787840 3484721908 4355902385 4381575680 6969443816 8711804770 13938887632 17423609540 27877775264 34847219080 55755550528 69694438160 111511101056 139388876320 223022202112 278777752640 446044404224 557555505280 1115111010560 2230222021120