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221232102 = 237133747233
BaseRepresentation
bin11010010111110…
…11101111100110
3120102021202101120
431023323233212
5423113411402
633541434410
75324304360
oct1513735746
9512252346
10221232102
11103974a53
126210ba06
1336aac490
142154bd30
15146503bc
hexd2fbbe6

221232102 has 128 divisors (see below), whose sum is σ = 573640704. Its totient is φ = 55323648.

The previous prime is 221232083. The next prime is 221232103. The reversal of 221232102 is 201232122.

It is a happy number.

221232102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221232103) 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 63 ways as a sum of consecutive naturals, for example, 949378 + ... + 949610.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2221232102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221232102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286820352).

221232102 is an abundant number, since it is smaller than the sum of its proper divisors (352408602).

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

221232102 is a wasteful number, since it uses less digits than its factorization.

221232102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 221232102 is about 14873.8731337873. The cubic root of 221232102 is about 604.8059409935.

Adding to 221232102 its reverse (201232122), we get a palindrome (422464224).

The spelling of 221232102 in words is "two hundred twenty-one million, two hundred thirty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 47 74 78 91 94 111 141 182 222 233 259 273 282 329 466 481 518 546 611 658 699 777 962 987 1222 1398 1443 1554 1631 1739 1833 1974 2886 3029 3262 3367 3478 3666 4277 4893 5217 6058 6734 8554 8621 9087 9786 10101 10434 10951 12173 12831 17242 18174 20202 21203 21902 22607 24346 25662 25863 32853 36519 42406 45214 51726 60347 63609 65706 67821 73038 76657 112073 120694 127218 135642 142363 153314 158249 181041 224146 229971 284726 316498 336219 362082 405187 427089 459942 474747 672438 784511 810374 854178 949494 996541 1215561 1569022 1993082 2353533 2431122 2836309 2989623 4707066 5267431 5672618 5979246 8508927 10534862 15802293 17017854 31604586 36872017 73744034 110616051 221232102