Search a number
-
+
2166302208 = 29371131783
BaseRepresentation
bin1000000100011111…
…0010011000000000
312120222021112222010
42001013302120000
513414033132313
6554543212520
7104453156610
oct20107623000
95528245863
102166302208
11a11903a04
125055a7140
13286a63535
141679c8a40
15ca2b24c3
hex811f2600

2166302208 has 160 divisors (see below), whose sum is σ = 6657716736. Its totient is φ = 613122048.

The previous prime is 2166302191. The next prime is 2166302249. The reversal of 2166302208 is 8022036612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214085 + ... + 1215867.

Almost surely, 22166302208 is an apocalyptic number.

2166302208 is a gapful number since it is divisible by the number (28) 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 2166302208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328858368).

2166302208 is an abundant number, since it is smaller than the sum of its proper divisors (4491414528).

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

2166302208 is a wasteful number, since it uses less digits than its factorization.

2166302208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2166302208 is about 46543.5517338331. The cubic root of 2166302208 is about 1293.9167873282.

The spelling of 2166302208 in words is "two billion, one hundred sixty-six million, three hundred two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 256 336 339 384 448 452 512 672 678 768 791 896 904 1344 1356 1536 1582 1783 1792 1808 2373 2688 2712 3164 3566 3584 3616 4746 5349 5376 5424 6328 7132 7232 9492 10698 10752 10848 12481 12656 14264 14464 18984 21396 21696 24962 25312 28528 28928 37443 37968 42792 43392 49924 50624 57056 57856 74886 75936 85584 86784 99848 101248 114112 149772 151872 171168 173568 199696 201479 202496 228224 299544 303744 342336 399392 402958 404992 456448 599088 604437 607488 684672 798784 805916 912896 1198176 1208874 1214976 1369344 1410353 1597568 1611832 2396352 2417748 2738688 2820706 3195136 3223664 4231059 4792704 4835496 5641412 6390272 6447328 8462118 9585408 9670992 11282824 12894656 16924236 19170816 19341984 22565648 25789312 33848472 38683968 45131296 51578624 67696944 77367936 90262592 103157248 135393888 154735872 180525184 270787776 309471744 361050368 541575552 722100736 1083151104 2166302208