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2212323232230 = 2335372081106417
BaseRepresentation
bin100000001100011000101…
…111011000100111100110
321211111101121110121002000
4200030120233120213212
5242221314221412410
64412154404430130
7315556301125566
oct40143057304746
97744347417060
102212323232230
11783271875831
122b891a6a8346
1313080c98b527
147911148cda6
153c83326edc0
hex20318bd89e6

2212323232230 has 128 divisors (see below), whose sum is σ = 6061943871360. Its totient is φ = 573726965760.

The previous prime is 2212323232201. The next prime is 2212323232241. The reversal of 2212323232230 is 322323232122.

2212323232230 is a `hidden beast` number, since 2 + 2 + 12 + 323 + 2 + 322 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2212323232194 and 2212323232203.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 20735982 + ... + 20842398.

It is an arithmetic number, because the mean of its divisors is an integer number (47358936495).

Almost surely, 22212323232230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212323232230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030971935680).

2212323232230 is an abundant number, since it is smaller than the sum of its proper divisors (3849620639130).

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

2212323232230 is a wasteful number, since it uses less digits than its factorization.

2212323232230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108551 (or 108545 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2212323232230 its reverse (322323232122), we get a palindrome (2534646464352).

The spelling of 2212323232230 in words is "two trillion, two hundred twelve billion, three hundred twenty-three million, two hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 2081 3330 4162 4995 6243 9990 10405 12486 18729 20810 31215 37458 56187 62430 76997 93645 106417 112374 153994 187290 212834 230991 280935 319251 384985 461982 532085 561870 638502 692973 769970 957753 1064170 1154955 1385946 1596255 1915506 2078919 2309910 2873259 3192510 3464865 3937429 4157838 4788765 5746518 6929730 7874858 9577530 10394595 11812287 14366295 19687145 20789190 23624574 28732590 35436861 39374290 59061435 70873722 106310583 118122870 177184305 212621166 221453777 354368610 442907554 531552915 664361331 1063105830 1107268885 1328722662 1993083993 2214537770 3321806655 3986167986 5979251979 6643613310 8193789749 9965419965 11958503958 16387579498 19930839930 24581369247 29896259895 40968948745 49162738494 59792519790 73744107741 81937897490 122906846235 147488215482 221232323223 245813692470 368720538705 442464646446 737441077410 1106161616115 2212323232230