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22242144645 = 3357293132593
BaseRepresentation
bin10100101101101111…
…000011000110000101
32010102002112000111000
4110231233003012011
5331022442112040
614115022203513
71415116052520
oct245557030605
963362460430
1022242144645
119484124526
124388a23599
132136074046
14110ddb3bb7
158a2a10130
hex52dbc3185

22242144645 has 128 divisors (see below), whose sum is σ = 46916121600. Its totient is φ = 9782083584.

The previous prime is 22242144643. The next prime is 22242144721. The reversal of 22242144645 is 54644124222.

22242144645 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 2 + 1 + 4 + 4 + 645 = 666.

It is not a de Polignac number, because 22242144645 - 21 = 22242144643 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22242144643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8576469 + ... + 8579061.

It is an arithmetic number, because the mean of its divisors is an integer number (366532200).

Almost surely, 222242144645 is an apocalyptic number.

It is an amenable number.

22242144645 is an abundant number, since it is smaller than the sum of its proper divisors (24673976955).

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

22242144645 is a wasteful number, since it uses less digits than its factorization.

22242144645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 22242144645 its reverse (54644124222), we get a palindrome (76886268867).

The spelling of 22242144645 in words is "twenty-two billion, two hundred forty-two million, one hundred forty-four thousand, six hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 63 87 105 135 145 189 203 261 313 315 435 609 783 939 945 1015 1305 1565 1827 2191 2593 2817 3045 3915 4695 5481 6573 7779 8451 9077 9135 10955 12965 14085 18151 19719 23337 27231 27405 32865 38895 42255 45385 54453 59157 63539 70011 75197 81693 90755 98595 116685 136155 163359 190617 225591 245079 272265 295785 317695 350055 375985 408465 490077 526379 571851 676773 811609 816795 953085 1127955 1225395 1579137 1715553 2030319 2434827 2450385 2631895 2859255 3383865 4058045 4737411 5681263 7304481 7895685 8577765 10151595 12174135 14212233 17043789 21913443 23536661 23687055 28406315 36522405 51131367 70609983 71061165 85218945 109567215 117683305 153394101 164756627 211829949 255656835 353049915 494269881 635489847 766970505 823783135 1059149745 1482809643 2471349405 3177449235 4448428929 7414048215 22242144645