Search a number
-
+
22123253635040 = 2553712729425481
BaseRepresentation
bin1010000011110111110001…
…01011001001011111100000
32220022221222120202202022202
411001323320223021133200
510344431410412310130
6115015141000152332
74442231564106545
oct501737053113740
986287876682282
1022123253635040
11705a467a1a118
122593774a686a8
13c462a1b2caac
14566ab2200bcc
152857237ae145
hex141ef8ac97e0

22123253635040 has 96 divisors (see below), whose sum is σ = 54101455801344. Its totient is φ = 8542334545920.

The previous prime is 22123253635001. The next prime is 22123253635057. The reversal of 22123253635040 is 4053635232122.

It is a junction number, because it is equal to n+sod(n) for n = 22123253634985 and 22123253635003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13960901 + ... + 15464580.

It is an arithmetic number, because the mean of its divisors is an integer number (563556831264).

Almost surely, 222123253635040 is an apocalyptic number.

22123253635040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22123253635040 is an abundant number, since it is smaller than the sum of its proper divisors (31978202166304).

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

22123253635040 is a wasteful number, since it uses less digits than its factorization.

22123253635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29425660 (or 29425652 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 22123253635040 its reverse (4053635232122), we get a palindrome (26176888867162).

The spelling of 22123253635040 in words is "twenty-two trillion, one hundred twenty-three billion, two hundred fifty-three million, six hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 127 148 160 185 254 296 370 508 592 635 740 1016 1184 1270 1480 2032 2540 2960 4064 4699 5080 5920 9398 10160 18796 20320 23495 37592 46990 75184 93980 150368 187960 375920 751840 29425481 58850962 117701924 147127405 235403848 294254810 470807696 588509620 941615392 1088742797 1177019240 2177485594 2354038480 3737036087 4354971188 4708076960 5443713985 7474072174 8709942376 10887427970 14948144348 17419884752 18685180435 21774855940 29896288696 34839769504 37370360870 43549711880 59792577392 74740721740 87099423760 119585154784 138270335219 149481443480 174198847520 276540670438 298962886960 553081340876 597925773920 691351676095 1106162681752 1382703352190 2212325363504 2765406704380 4424650727008 5530813408760 11061626817520 22123253635040