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164144002 = 211219291231
BaseRepresentation
bin10011100100010…
…10001110000010
3102102212101020111
421302022032002
5314010102002
624142101534
74032125641
oct1162121602
9372771214
10164144002
1184722900
1246b7a8aa
1328011a39
1417b2b358
15e6253d7
hex9c8a382

164144002 has 48 divisors (see below), whose sum is σ = 294940800. Its totient is φ = 68191200.

The previous prime is 164143981. The next prime is 164144009. The reversal of 164144002 is 200441461.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164144009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132727 + ... + 133957.

It is an arithmetic number, because the mean of its divisors is an integer number (6144600).

Almost surely, 2164144002 is an apocalyptic number.

164144002 is a deficient number, since it is larger than the sum of its proper divisors (130796798).

164144002 is a wasteful number, since it uses less digits than its factorization.

164144002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 164144002 is about 12811.8695747342. The cubic root of 164144002 is about 547.5305287981.

Adding to 164144002 its reverse (200441461), we get a palindrome (364585463).

The spelling of 164144002 in words is "one hundred sixty-four million, one hundred forty-four thousand, two".

Divisors: 1 2 11 19 22 29 38 58 121 209 242 319 418 551 638 1102 1231 2299 2462 3509 4598 6061 7018 12122 13541 23389 27082 35699 46778 66671 71398 133342 148951 257279 297902 392689 514558 678281 785378 1356562 2830069 4319579 5660138 7461091 8639158 14922182 82072001 164144002