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22144030221 = 31729431911823
BaseRepresentation
bin10100100111111000…
…110001011000001101
32010011020220021210110
4110213320301120031
5330322332431341
614101155230233
71412515102605
oct244770613015
963136807713
1022144030221
119433800725
12435bba8379
13211b940881
141100d53c05
158990ce216
hex527e3160d

22144030221 has 64 divisors (see below), whose sum is σ = 33283768320. Its totient is φ = 13027445760.

The previous prime is 22144030217. The next prime is 22144030247. The reversal of 22144030221 is 12203044122.

It is not a de Polignac number, because 22144030221 - 22 = 22144030217 is a prime.

It is a super-2 number, since 2×221440302212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144030201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12146116 + ... + 12147938.

It is an arithmetic number, because the mean of its divisors is an integer number (520058880).

Almost surely, 222144030221 is an apocalyptic number.

It is an amenable number.

22144030221 is a deficient number, since it is larger than the sum of its proper divisors (11139738099).

22144030221 is a wasteful number, since it uses less digits than its factorization.

22144030221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22144030221 its reverse (12203044122), we get a palindrome (34347074343).

The spelling of 22144030221 in words is "twenty-two billion, one hundred forty-four million, thirty thousand, two hundred twenty-one".

Divisors: 1 3 17 29 43 51 87 129 191 493 573 731 1247 1479 1823 2193 3247 3741 5469 5539 8213 9741 16617 21199 24639 30991 52867 63597 78389 92973 94163 139621 158601 235167 238177 282489 348193 418863 714531 898739 1044579 1332613 2273281 2696217 3997839 4049009 5919281 6819843 10097597 12147027 14972299 17757843 30292791 38645777 44916897 115937331 171659149 254529083 434196671 514977447 763587249 1302590013 7381343407 22144030221