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166420212 = 223729531289
BaseRepresentation
bin10011110101101…
…01111011110100
3102121011000121120
421322311323310
5320100421322
624302543540
74060356060
oct1172657364
9377130546
10166420212
1185a37a72
1247897bb0
132862aaca
1418160aa0
15e924a5c
hex9eb5ef4

166420212 has 96 divisors (see below), whose sum is σ = 468115200. Its totient is φ = 45007872.

The previous prime is 166420201. The next prime is 166420273. The reversal of 166420212 is 212024661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128464 + ... + 129752.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2166420212 is an apocalyptic number.

166420212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166420212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234057600).

166420212 is an abundant number, since it is smaller than the sum of its proper divisors (301694988).

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

166420212 is a wasteful number, since it uses less digits than its factorization.

166420212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 166420212 is about 12900.3958078812. The cubic root of 166420212 is about 550.0498158735.

Adding to 166420212 its reverse (212024661), we get a palindrome (378444873).

The spelling of 166420212 in words is "one hundred sixty-six million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 53 58 84 87 106 116 159 174 203 212 318 348 371 406 609 636 742 812 1113 1218 1289 1484 1537 2226 2436 2578 3074 3867 4452 4611 5156 6148 7734 9023 9222 10759 15468 18046 18444 21518 27069 32277 36092 37381 43036 54138 64554 68317 74762 108276 112143 129108 136634 149524 204951 224286 261667 273268 409902 448572 478219 523334 785001 819804 956438 1046668 1434657 1570002 1912876 1981193 2869314 3140004 3962386 5738628 5943579 7924772 11887158 13868351 23774316 27736702 41605053 55473404 83210106 166420212