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166978422 = 23513219107
BaseRepresentation
bin10011111001111…
…10001101110110
3102122012101100000
421330332031312
5320221302142
624322532130
74065202362
oct1174761566
9378171300
10166978422
11862893a6
1247b07046
1328794c00
14182682a2
15e9d514c
hex9f3e376

166978422 has 144 divisors (see below), whose sum is σ = 431645760. Its totient is φ = 48218976.

The previous prime is 166978397. The next prime is 166978423. The reversal of 166978422 is 224879661.

It is a happy number.

It is a super-2 number, since 2×1669784222 = 55763586827220168, which contains 22 as substring.

Its product of digits (290304) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166978423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1560493 + ... + 1560599.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2166978422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166978422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215822880).

166978422 is an abundant number, since it is smaller than the sum of its proper divisors (264667338).

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

166978422 is a wasteful number, since it uses less digits than its factorization.

166978422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 166978422 is about 12922.0130784642. The cubic root of 166978422 is about 550.6641255686.

The spelling of 166978422 in words is "one hundred sixty-six million, nine hundred seventy-eight thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 107 114 117 162 169 171 214 234 243 247 321 338 342 351 486 494 507 513 642 702 741 963 1014 1026 1053 1391 1482 1521 1539 1926 2033 2106 2223 2782 2889 3042 3078 3159 3211 4066 4173 4446 4563 4617 5778 6099 6318 6422 6669 8346 8667 9126 9234 9633 12198 12519 13338 13689 17334 18083 18297 19266 20007 25038 26001 26429 27378 28899 36166 36594 37557 40014 41067 52002 52858 54249 54891 57798 60021 75114 79287 82134 86697 108498 109782 112671 120042 158574 162747 164673 173394 225342 237861 260091 325494 329346 338013 343577 475722 488241 494019 520182 676026 687154 713583 780273 976482 988038 1030731 1427166 1464723 1560546 2061462 2140749 2929446 3092193 4281498 4394169 6184386 6422247 8788338 9276579 12844494 18553158 27829737 55659474 83489211 166978422