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166422120 = 233553137191
BaseRepresentation
bin10011110101101…
…10011001101000
3102121011010020020
421322312121220
5320101001440
624303000440
74060364454
oct1172663150
9377133206
10166422120
1185a39447
1247899120
132862b937
1418161664
15e9253d0
hex9eb6668

166422120 has 128 divisors (see below), whose sum is σ = 515082240. Its totient is φ = 42997760.

The previous prime is 166422119. The next prime is 166422127. The reversal of 166422120 is 21224661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (166422127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871225 + ... + 871415.

It is an arithmetic number, because the mean of its divisors is an integer number (4024080).

Almost surely, 2166422120 is an apocalyptic number.

166422120 is a gapful number since it is divisible by the number (10) 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 166422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257541120).

166422120 is an abundant number, since it is smaller than the sum of its proper divisors (348660120).

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

166422120 is a wasteful number, since it uses less digits than its factorization.

166422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

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

The square root of 166422120 is about 12900.4697588886. The cubic root of 166422120 is about 550.0519179640.

Adding to 166422120 its reverse (21224661), we get a palindrome (187646781).

The spelling of 166422120 in words is "one hundred sixty-six million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 137 159 191 212 265 274 318 382 411 424 530 548 573 636 685 764 795 822 955 1060 1096 1146 1272 1370 1528 1590 1644 1910 2055 2120 2292 2740 2865 3180 3288 3820 4110 4584 5480 5730 6360 7261 7640 8220 10123 11460 14522 16440 20246 21783 22920 26167 29044 30369 36305 40492 43566 50615 52334 58088 60738 72610 78501 80984 87132 101230 104668 108915 121476 130835 145220 151845 157002 174264 202460 209336 217830 242952 261670 290440 303690 314004 392505 404920 435660 523340 607380 628008 785010 871320 1046680 1214760 1386851 1570020 2773702 3140040 4160553 5547404 6934255 8321106 11094808 13868510 16642212 20802765 27737020 33284424 41605530 55474040 83211060 166422120