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222112000332 = 223237792110769
BaseRepresentation
bin1100111011011011101…
…0000010100101001100
3210020022100220200112200
43032312322002211030
512114341133002312
6250011543001500
722022066565165
oct3166672024514
9706270820480
10222112000332
1186219485342
1237068a39290
1317c39426b41
14aa70a9876c
155b9e8280dc
hex33b6e8294c

222112000332 has 72 divisors (see below), whose sum is σ = 583923412800. Its totient is φ = 71124438528.

The previous prime is 222112000321. The next prime is 222112000337. The reversal of 222112000332 is 233000211222.

222112000332 is a `hidden beast` number, since 222 + 112 + 0 + 0 + 0 + 332 = 666.

222112000332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2221120003322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222112000337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 950157 + ... + 1160612.

It is an arithmetic number, because the mean of its divisors is an integer number (8110047400).

Almost surely, 2222112000332 is an apocalyptic number.

It is an amenable number.

222112000332 is an abundant number, since it is smaller than the sum of its proper divisors (361811412468).

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

222112000332 is a wasteful number, since it uses less digits than its factorization.

222112000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110895 (or 2110890 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222112000332 its reverse (233000211222), we get a palindrome (455112211554).

The spelling of 222112000332 in words is "two hundred twenty-two billion, one hundred twelve million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 666 711 948 1332 1422 2844 2923 5846 8769 11692 17538 26307 35076 52614 105228 2110769 4221538 6332307 8443076 12664614 18996921 25329228 37993842 75987684 78098453 156196906 166750751 234295359 312393812 333501502 468590718 500252253 667003004 702886077 937181436 1000504506 1405772154 1500756759 2001009012 2811544308 3001513518 6003027036 6169777787 12339555574 18509333361 24679111148 37018666722 55528000083 74037333444 111056000166 222112000332