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22352085 = 3357231109
BaseRepresentation
bin101010101000…
…1000011010101
31120001121022000
41111101003111
521210231320
62115025513
7360663300
oct125210325
946047260
1022352085
11116874a8
12759b299
134827bb2
142d7bb37
151e67c90
hex15510d5

22352085 has 96 divisors (see below), whose sum is σ = 48153600. Its totient is φ = 9797760.

The previous prime is 22352051. The next prime is 22352101. The reversal of 22352085 is 58025322.

It is not a de Polignac number, because 22352085 - 28 = 22351829 is a prime.

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

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205011 + ... + 205119.

It is an arithmetic number, because the mean of its divisors is an integer number (501600).

Almost surely, 222352085 is an apocalyptic number.

It is an amenable number.

22352085 is an abundant number, since it is smaller than the sum of its proper divisors (25801515).

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

22352085 is a wasteful number, since it uses less digits than its factorization.

22352085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 22352085 is about 4727.7991708616. The cubic root of 22352085 is about 281.6908109660.

The spelling of 22352085 in words is "twenty-two million, three hundred fifty-two thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 93 105 109 135 147 155 189 217 245 279 315 327 441 465 545 651 735 763 837 945 981 1085 1323 1395 1519 1635 1953 2205 2289 2943 3255 3379 3815 4185 4557 4905 5341 5859 6615 6867 7595 9765 10137 11445 13671 14715 16023 16895 20601 22785 23653 26705 29295 30411 34335 41013 48069 50685 68355 70959 80115 91233 103005 118265 144207 152055 165571 205065 212877 240345 354795 456165 496713 638631 721035 827855 1064385 1490139 2483565 3193155 4470417 7450695 22352085