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2212916190 = 2351312632141
BaseRepresentation
bin1000001111100110…
…0110101111011110
312201012222210022220
42003321212233132
514013001304230
61003330250210
7105560322462
oct20371465736
95635883286
102212916190
11a36151761
12519126966
13293604684
1416dc804a2
15ce41dd10
hex83e66bde

2212916190 has 64 divisors (see below), whose sum is σ = 5374397952. Its totient is φ = 583107200.

The previous prime is 2212916141. The next prime is 2212916207. The reversal of 2212916190 is 916192122.

It is a super-2 number, since 2×22129161902 = 9793996127928232200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032520 + ... + 1034660.

It is an arithmetic number, because the mean of its divisors is an integer number (83974968).

Almost surely, 22212916190 is an apocalyptic number.

2212916190 is an abundant number, since it is smaller than the sum of its proper divisors (3161481762).

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

2212916190 is a wasteful number, since it uses less digits than its factorization.

2212916190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 2212916190 is about 47041.6431473221. The cubic root of 2212916190 is about 1303.1317374644.

The spelling of 2212916190 in words is "two billion, two hundred twelve million, nine hundred sixteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 131 262 263 393 526 655 786 789 1310 1315 1578 1965 2141 2630 3930 3945 4282 6423 7890 10705 12846 21410 32115 34453 64230 68906 103359 172265 206718 280471 344530 516795 560942 563083 841413 1033590 1126166 1402355 1682826 1689249 2804710 2815415 3378498 4207065 5630830 8414130 8446245 16892490 73763873 147527746 221291619 368819365 442583238 737638730 1106458095 2212916190