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166204992 = 2632361617
BaseRepresentation
bin10011110100000…
…01011001000000
3102120202002101110
421322001121000
5320022024432
624254203320
74055501442
oct1172013100
9376662343
10166204992
11859002a8
12477b3540
1328583b65
1418106492
15e8d0dcc
hex9e81640

166204992 has 112 divisors (see below), whose sum is σ = 467148672. Its totient is φ = 52039680.

The previous prime is 166204991. The next prime is 166204993. The reversal of 166204992 is 299402661.

It is an interprime number because it is at equal distance from previous prime (166204991) and next prime (166204993).

It is a self number, because there is not a number n which added to its sum of digits gives 166204992.

It is not an unprimeable number, because it can be changed into a prime (166204991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269068 + ... + 269684.

Almost surely, 2166204992 is an apocalyptic number.

166204992 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 166204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233574336).

166204992 is an abundant number, since it is smaller than the sum of its proper divisors (300943680).

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

166204992 is a wasteful number, since it uses less digits than its factorization.

166204992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 166204992 is about 12892.0515047063. The cubic root of 166204992 is about 549.8125995155.

It can be divided in two parts, 16620 and 4992, that added together give a palindrome (21612).

The spelling of 166204992 in words is "one hundred sixty-six million, two hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 138 183 184 192 244 276 366 368 488 552 617 732 736 976 1104 1234 1403 1464 1472 1851 1952 2208 2468 2806 2928 3702 3904 4209 4416 4936 5612 5856 7404 8418 9872 11224 11712 14191 14808 16836 19744 22448 28382 29616 33672 37637 39488 42573 44896 56764 59232 67344 75274 85146 89792 112911 113528 118464 134688 150548 170292 225822 227056 269376 301096 340584 451644 454112 602192 681168 865651 903288 908224 1204384 1362336 1731302 1806576 2408768 2596953 2724672 3462604 3613152 5193906 6925208 7226304 10387812 13850416 20775624 27700832 41551248 55401664 83102496 166204992