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222002143132 = 2271117363111677
BaseRepresentation
bin1100111011000001011…
…0111101111110011100
3210020000201012100210111
43032300112331332130
512114130022040012
6245553020215404
722016264036620
oct3166026757634
9706021170714
10222002143132
1186172470a70
123703809a564
1317c1c741793
14aa6025d180
155b94d77ba7
hex33b05bdf9c

222002143132 has 96 divisors (see below), whose sum is σ = 513045743616. Its totient is φ = 81377049600.

The previous prime is 222002143123. The next prime is 222002143133. The reversal of 222002143132 is 231341200222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222002143133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19006078 + ... + 19017754.

It is an arithmetic number, because the mean of its divisors is an integer number (5344226496).

Almost surely, 2222002143132 is an apocalyptic number.

222002143132 is a gapful number since it is divisible by the number (22) 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 222002143132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256522871808).

222002143132 is an abundant number, since it is smaller than the sum of its proper divisors (291043600484).

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

222002143132 is a wasteful number, since it uses less digits than its factorization.

222002143132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 222002143132 its reverse (231341200222), we get a palindrome (453343343354).

The spelling of 222002143132 in words is "two hundred twenty-two billion, two million, one hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 3631 5236 7262 11677 14524 23354 25417 39941 46708 50834 61727 79882 81739 101668 123454 128447 159764 163478 198509 246908 256894 279587 326956 397018 432089 513788 559174 678997 794036 864178 899129 1118348 1357994 1389563 1728356 1798258 2183599 2715988 2779126 3596516 4367198 4752979 5558252 8734396 9505958 15285193 19011916 30570386 42399187 61140772 84798374 169596748 296794309 466391057 593588618 720786179 932782114 1187177236 1441572358 1865564228 2883144716 3264737399 5045503253 6529474798 7928647969 10091006506 13058949596 15857295938 20182013012 31714591876 55500535783 111001071566 222002143132