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222123000132 = 2232111495137517
BaseRepresentation
bin1100111011011110010…
…0000000000101000100
3210020100010121112102200
43032313210000011010
512114401442001012
6250013014434500
722022262230445
oct3166744000504
9706303545380
10222123000132
1186224708690
1237070662a30
1317c3b7a87b7
14aa7231d2cc
155ba079c3dc
hex33b7900144

222123000132 has 72 divisors (see below), whose sum is σ = 612578296512. Its totient is φ = 67303704000.

The previous prime is 222123000131. The next prime is 222123000149. The reversal of 222123000132 is 231000321222.

222123000132 is a `hidden beast` number, since 22 + 212 + 300 + 0 + 132 = 666.

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 (222123000131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5901838 + ... + 5939354.

It is an arithmetic number, because the mean of its divisors is an integer number (8508031896).

Almost surely, 2222123000132 is an apocalyptic number.

222123000132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222123000132 is an abundant number, since it is smaller than the sum of its proper divisors (390455296380).

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

222123000132 is a wasteful number, since it uses less digits than its factorization.

222123000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52489 (or 52484 counting only the distinct ones).

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

Adding to 222123000132 its reverse (231000321222), we get a palindrome (453123321354).

The spelling of 222123000132 in words is "two hundred twenty-two billion, one hundred twenty-three million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 14951 29902 37517 44853 59804 75034 89706 112551 134559 150068 164461 179412 225102 269118 328922 337653 412687 450204 493383 538236 657844 675306 825374 986766 1238061 1350612 1480149 1650748 1973532 2476122 2960298 3714183 4952244 5920596 7428366 14856732 560916667 1121833334 1682750001 2243666668 3365500002 5048250003 6170083337 6731000004 10096500006 12340166674 18510250011 20193000012 24680333348 37020500022 55530750033 74041000044 111061500066 222123000132