Search a number
-
+
12232221330 = 2357223361793
BaseRepresentation
bin10110110010001100…
…01110001010010010
31011120111002020010110
423121012032022102
5200022422040310
65341442542150
7612061110600
oct133106161222
934514066113
1012232221330
115207851a2a
122454667956
1311cc2c0bb4
148407ca870
154b8d41d20
hex2d918e292

12232221330 has 96 divisors (see below), whose sum is σ = 35635261824. Its totient is φ = 2674366464.

The previous prime is 12232221317. The next prime is 12232221367. The reversal of 12232221330 is 3312223221.

It is a happy number.

It is a super-2 number, since 2×122322213302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12232221297 and 12232221306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147087 + ... + 214706.

It is an arithmetic number, because the mean of its divisors is an integer number (371200644).

Almost surely, 212232221330 is an apocalyptic number.

12232221330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12232221330 is an abundant number, since it is smaller than the sum of its proper divisors (23403040494).

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

12232221330 is a wasteful number, since it uses less digits than its factorization.

12232221330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361840 (or 361833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12232221330 its reverse (3312223221), we get a palindrome (15544444551).

The spelling of 12232221330 in words is "twelve billion, two hundred thirty-two million, two hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 483 490 690 735 805 966 1127 1470 1610 2254 2415 3381 4830 5635 6762 11270 16905 33810 361793 723586 1085379 1808965 2170758 2532551 3617930 5065102 5426895 7597653 8321239 10853790 12662755 15195306 16642478 17727857 24963717 25325510 35455714 37988265 41606195 49927434 53183571 58248673 75976530 83212390 88639285 106367142 116497346 124818585 174746019 177278570 249637170 265917855 291243365 349492038 407740711 531835710 582486730 815481422 873730095 1223222133 1747460190 2038703555 2446444266 4077407110 6116110665 12232221330