Search a number
-
+
22482325368 = 23324312757179
BaseRepresentation
bin10100111100000011…
…010000111101111000
32011000211110110111100
4110330003100331320
5332020433402433
614154522131400
71424063420046
oct247403207570
964024413440
1022482325368
119597760898
124435350b60
132173a59209
141133c55396
158b8b54b13
hex53c0d0f78

22482325368 has 96 divisors (see below), whose sum is σ = 62797363200. Its totient is φ = 7262063424.

The previous prime is 22482325367. The next prime is 22482325379. The reversal of 22482325368 is 86352328422.

It is a happy number.

22482325368 is a `hidden beast` number, since 2 + 2 + 4 + 82 + 32 + 536 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22482325367) 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 23 ways as a sum of consecutive naturals, for example, 364603 + ... + 421781.

It is an arithmetic number, because the mean of its divisors is an integer number (654139200).

Almost surely, 222482325368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22482325368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31398681600).

22482325368 is an abundant number, since it is smaller than the sum of its proper divisors (40315037832).

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

22482325368 is a wasteful number, since it uses less digits than its factorization.

22482325368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57361 (or 57354 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 22482325368 in words is "twenty-two billion, four hundred eighty-two million, three hundred twenty-five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 127 129 172 254 258 344 381 387 508 516 762 774 1016 1032 1143 1524 1548 2286 3048 3096 4572 5461 9144 10922 16383 21844 32766 43688 49149 57179 65532 98298 114358 131064 171537 196596 228716 343074 393192 457432 514611 686148 1029222 1372296 2058444 2458697 4116888 4917394 7261733 7376091 9834788 14523466 14752182 19669576 21785199 22128273 29046932 29504364 43570398 44256546 58093864 59008728 65355597 87140796 88513092 130711194 174281592 177026184 261422388 312254519 522844776 624509038 936763557 1249018076 1873527114 2498036152 2810290671 3747054228 5620581342 7494108456 11241162684 22482325368