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9966222 = 23271923181
BaseRepresentation
bin100110000001…
…001010001110
3200202100002100
4212001022032
510022404342
6553335530
7150466020
oct46011216
920670070
109966222
115697852
1234075a6
1320ac396
141476010
15d1ce4c
hex98128e

9966222 has 96 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 2566080.

The previous prime is 9966217. The next prime is 9966223. The reversal of 9966222 is 2226699.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54972 + ... + 55152.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 29966222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).

9966222 is an abundant number, since it is smaller than the sum of its proper divisors (17290098).

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

9966222 is a wasteful number, since it uses less digits than its factorization.

9966222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 9966222 is about 3156.9323717812. The cubic root of 9966222 is about 215.2006203830.

The spelling of 9966222 in words is "nine million, nine hundred sixty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 38 42 46 57 63 69 114 126 133 138 161 171 181 207 266 322 342 362 399 414 437 483 543 798 874 966 1086 1197 1267 1311 1449 1629 2394 2534 2622 2898 3059 3258 3439 3801 3933 4163 6118 6878 7602 7866 8326 9177 10317 11403 12489 18354 20634 22806 24073 24978 27531 29141 30951 37467 48146 55062 58282 61902 72219 74934 79097 87423 144438 158194 174846 216657 237291 262269 433314 474582 524538 553679 711873 1107358 1423746 1661037 3322074 4983111 9966222