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2166606440 = 2352310692203
BaseRepresentation
bin1000000100100011…
…1100101001101000
312120222212000021222
42001020330221220
513414122401230
6554553521212
7104455564565
oct20110745150
95528760258
102166606440
11a11aa1539
12505713208
13286b3bb5b
14167a6786c
15ca3226e5
hex8123ca68

2166606440 has 64 divisors (see below), whose sum is σ = 5093884800. Its totient is φ = 827811072.

The previous prime is 2166606439. The next prime is 2166606457. The reversal of 2166606440 is 446066612.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2166606440.

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, 982379 + ... + 984581.

It is an arithmetic number, because the mean of its divisors is an integer number (79591950).

Almost surely, 22166606440 is an apocalyptic number.

2166606440 is a gapful number since it is divisible by the number (20) 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 2166606440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546942400).

2166606440 is an abundant number, since it is smaller than the sum of its proper divisors (2927278360).

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

2166606440 is a wasteful number, since it uses less digits than its factorization.

2166606440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 2166606440 is about 46546.8198698901. The cubic root of 2166606440 is about 1293.9773563575.

The spelling of 2166606440 in words is "two billion, one hundred sixty-six million, six hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1069 2138 2203 4276 4406 5345 8552 8812 10690 11015 17624 21380 22030 24587 42760 44060 49174 50669 88120 98348 101338 122935 196696 202676 245870 253345 405352 491740 506690 983480 1013380 2026760 2355007 4710014 9420028 11775035 18840056 23550070 47100140 54165161 94200280 108330322 216660644 270825805 433321288 541651610 1083303220 2166606440