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221213010222 = 232371099773119
BaseRepresentation
bin1100111000000101010…
…0101010100100101110
3210010222201022020221200
43032001110222210232
512111021012311342
6245342430310330
721660602363601
oct3160124524456
9703881266850
10221213010222
11858a7a82806
1236a579583a6
1317b250c5029
14a9c7522338
155b4a94a94c
hex338152a92e

221213010222 has 96 divisors (see below), whose sum is σ = 497432707200. Its totient is φ = 70991023104.

The previous prime is 221213010197. The next prime is 221213010281. The reversal of 221213010222 is 222010312122.

221213010222 is a `hidden beast` number, since 22 + 121 + 301 + 0 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221213010195 and 221213010204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70922779 + ... + 70925897.

It is an arithmetic number, because the mean of its divisors is an integer number (5181590700).

Almost surely, 2221213010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221213010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248716353600).

221213010222 is an abundant number, since it is smaller than the sum of its proper divisors (276219696978).

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

221213010222 is a wasteful number, since it uses less digits than its factorization.

221213010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 221213010222 its reverse (222010312122), we get a palindrome (443223322344).

The spelling of 221213010222 in words is "two hundred twenty-one billion, two hundred thirteen million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 109 111 218 222 327 333 654 666 977 981 1954 1962 2931 3119 4033 5862 6238 8066 8793 9357 12099 17586 18714 24198 28071 36149 36297 56142 72298 72594 106493 108447 115403 212986 216894 230806 319479 325341 339971 346209 638958 650682 679942 692418 958437 1019913 1038627 1916874 2039826 2077254 3047263 3059739 3940241 6094526 6119478 7880482 9141789 11820723 12578927 18283578 23641446 25157854 27425367 35462169 37736781 54850734 70924338 75473562 112748731 113210343 225497462 226420686 332151667 338246193 664303334 676492386 996455001 1014738579 1992910002 2029477158 2989365003 5978730006 12289611679 24579223358 36868835037 73737670074 110606505111 221213010222