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164436222 = 2319289853
BaseRepresentation
bin10011100110100…
…01100011111110
3102110102020002110
421303101203332
5314043424342
624152234450
74034453616
oct1163214376
9373366073
10164436222
1184902405
124709ba26
13280b4a52
1417ba5a46
15e681c9c
hex9cd18fe

164436222 has 48 divisors (see below), whose sum is σ = 351403920. Its totient is φ = 51283584.

The previous prime is 164436211. The next prime is 164436227. The reversal of 164436222 is 222634461.

It is a super-3 number, since 3×1644362223 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164436222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164436227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192348 + ... + 193200.

It is an arithmetic number, because the mean of its divisors is an integer number (7320915).

Almost surely, 2164436222 is an apocalyptic number.

164436222 is an abundant number, since it is smaller than the sum of its proper divisors (186967698).

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

164436222 is a wasteful number, since it uses less digits than its factorization.

164436222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 966 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 164436222 is about 12823.2687720409. The cubic root of 164436222 is about 547.8552528531.

The spelling of 164436222 in words is "one hundred sixty-four million, four hundred thirty-six thousand, two hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 89 114 178 267 361 534 722 853 1083 1691 1706 2166 2559 3382 5073 5118 10146 16207 32129 32414 48621 64258 75917 96387 97242 151834 192774 227751 307933 455502 615866 923799 1442423 1847598 2884846 4327269 8654538 27406037 54812074 82218111 164436222