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22233210012 = 223213195942379
BaseRepresentation
bin10100101101001100…
…111101110010011100
32010101110201002110200
4110231030331302130
5331013200210022
614114102503500
71414650111156
oct245514756234
963343632420
1022233210012
11947a081832
124385a34b90
132134266390
14110cb29ad6
158a1d47bac
hex52d33dc9c

22233210012 has 144 divisors (see below), whose sum is σ = 64790544000. Its totient is φ = 6370939008.

The previous prime is 22233210001. The next prime is 22233210017. The reversal of 22233210012 is 21001233222.

22233210012 is a `hidden beast` number, since 222 + 332 + 100 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22233210017) 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 47 ways as a sum of consecutive naturals, for example, 503439 + ... + 545817.

Almost surely, 222233210012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22233210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32395272000).

22233210012 is an abundant number, since it is smaller than the sum of its proper divisors (42557333988).

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

22233210012 is a wasteful number, since it uses less digits than its factorization.

22233210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42480 (or 42475 counting only the distinct ones).

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

Adding to 22233210012 its reverse (21001233222), we get a palindrome (43234443234).

It can be divided in two parts, 2223 and 3210012, that multiplied together give a square (7135856676 = 844742).

The spelling of 22233210012 in words is "twenty-two billion, two hundred thirty-three million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 59 76 78 114 117 118 156 171 177 228 234 236 247 342 354 468 494 531 684 708 741 767 988 1062 1121 1482 1534 2124 2223 2242 2301 2964 3068 3363 4446 4484 4602 6726 6903 8892 9204 10089 13452 13806 14573 20178 27612 29146 40356 42379 43719 58292 84758 87438 127137 131157 169516 174876 254274 262314 381411 508548 524628 550927 762822 805201 1101854 1525644 1610402 1652781 2203708 2415603 2500361 3220804 3305562 4831206 4958343 5000722 6611124 7246809 7501083 9662412 9916686 10001444 10467613 14493618 15002166 19833372 20935226 22503249 28987236 30004332 31402839 32504693 41870452 45006498 47506859 62805678 65009386 90012996 94208517 95013718 97514079 125611356 130018772 142520577 188417034 190027436 195028158 285041154 292542237 376834068 390056316 427561731 570082308 585084474 617589167 855123462 1170168948 1235178334 1710246924 1852767501 2470356668 3705535002 5558302503 7411070004 11116605006 22233210012