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22125200014314 = 2333179167303359
BaseRepresentation
bin1010000011111011011001…
…01011111111101111101010
32220100011000020020001202000
411001331230223333233222
510344444402200424224
6115020102045551430
74442331040053645
oct501755453775752
986304006201660
1022125200014314
117060276672731
122594018875576
13c465221519c7
14566c188dca5c
152857d95ce0c9
hex141f6caffbea

22125200014314 has 64 divisors (see below), whose sum is σ = 51395592192000. Its totient is φ = 7046817438960.

The previous prime is 22125200014259. The next prime is 22125200014343. The reversal of 22125200014314 is 41341000252122.

22125200014314 is a `hidden beast` number, since 2 + 2 + 1 + 25 + 200 + 0 + 1 + 431 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83519434 + ... + 83783925.

It is an arithmetic number, because the mean of its divisors is an integer number (803056128000).

Almost surely, 222125200014314 is an apocalyptic number.

22125200014314 is an abundant number, since it is smaller than the sum of its proper divisors (29270392177686).

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

22125200014314 is a wasteful number, since it uses less digits than its factorization.

22125200014314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167303480 (or 167303474 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 22125200014314 its reverse (41341000252122), we get a palindrome (63466200266436).

The spelling of 22125200014314 in words is "twenty-two trillion, one hundred twenty-five billion, two hundred million, fourteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 79 93 158 186 237 279 474 558 711 837 1422 1674 2133 2449 4266 4898 7347 14694 22041 44082 66123 132246 167303359 334606718 501910077 1003820154 1505730231 3011460462 4517190693 5186404129 9034381386 10372808258 13216965361 15559212387 26433930722 31118424774 39650896083 46677637161 79301792166 93355274322 118952688249 140032911483 237905376498 280065822966 356858064747 409725926191 713716129494 819451852382 1229177778573 2458355557146 3687533335719 7375066671438 11062600007157 22125200014314