Search a number
-
+
23222024343100 = 225211531013943757
BaseRepresentation
bin1010100011110110011001…
…00000110000111000111100
310001020000002210201000112101
411101323030200300320330
511020432201212434400
6121220014541514444
74614510261036562
oct521731440607074
9101200083630471
1023222024343100
117443450387960
122730700b72a24
13cc5a9b028c8b
145a3d48311a32
152a40d138a56a
hex151ecc830e3c

23222024343100 has 144 divisors (see below), whose sum is σ = 56564658442656. Its totient is φ = 8203012480000.

The previous prime is 23222024343071. The next prime is 23222024343109. The reversal of 23222024343100 is 134342022232.

It is a super-4 number, since 4×232220243431004 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222024343109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3916422 + ... + 7860178.

It is an arithmetic number, because the mean of its divisors is an integer number (392810128074).

Almost surely, 223222024343100 is an apocalyptic number.

23222024343100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23222024343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28282329221328).

23222024343100 is an abundant number, since it is smaller than the sum of its proper divisors (33342634099556).

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

23222024343100 is a wasteful number, since it uses less digits than its factorization.

23222024343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3943936 (or 3943929 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23222024343100 its reverse (134342022232), we get a palindrome (23356366365332).

The spelling of 23222024343100 in words is "twenty-three trillion, two hundred twenty-two billion, twenty-four million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 101 106 110 202 212 220 265 275 404 505 530 550 583 1010 1060 1100 1111 1166 1325 2020 2222 2332 2525 2650 2915 4444 5050 5300 5353 5555 5830 10100 10706 11110 11660 14575 21412 22220 26765 27775 29150 53530 55550 58300 58883 107060 111100 117766 133825 235532 267650 294415 535300 588830 1177660 1472075 2944150 3943757 5888300 7887514 15775028 19718785 39437570 43381327 78875140 86762654 98593925 173525308 197187850 209019121 216906635 394375700 398319457 418038242 433813270 796638914 836076484 867626540 1045095605 1084533175 1593277828 1991597285 2090191210 2169066350 2299210331 3983194570 4180382420 4338132700 4381514027 4598420662 5225478025 7966389140 8763028054 9196841324 9957986425 10450956050 11496051655 17526056108 19915972850 20901912100 21110931221 21907570135 22992103310 39831945700 42221862442 43815140270 45984206620 57480258275 84443724884 87630280540 105554656105 109537850675 114960516550 211109312210 219075701350 229921033100 232220243431 422218624420 438151402700 464440486862 527773280525 928880973724 1055546561050 1161101217155 2111093122100 2322202434310 4644404868620 5805506085775 11611012171550 23222024343100