Search a number
-
+
20232224131540 = 22519313746419089
BaseRepresentation
bin1001001100110101011101…
…00010000100100111010100
32122122011220111010200102111
410212122232202010213110
510122441043334202130
6111010315551120404
74155505242411151
oct446325642044724
978564814120374
1020232224131540
1164a0490084203
122329182b13104
13b39b766c8465
144dd35dd07228
1525144731b02a
hex1266ae8849d4

20232224131540 has 96 divisors (see below), whose sum is σ = 47414315289600. Its totient is φ = 7219096565760.

The previous prime is 20232224131513. The next prime is 20232224131547. The reversal of 20232224131540 is 4513142223202.

It is a happy number.

20232224131540 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232224131547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22773685 + ... + 23645404.

It is an arithmetic number, because the mean of its divisors is an integer number (493899117600).

Almost surely, 220232224131540 is an apocalyptic number.

20232224131540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20232224131540 is an abundant number, since it is smaller than the sum of its proper divisors (27182091158060).

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

20232224131540 is a wasteful number, since it uses less digits than its factorization.

20232224131540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46419185 (or 46419183 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 20232224131540 its reverse (4513142223202), we get a palindrome (24745366354742).

The spelling of 20232224131540 in words is "twenty trillion, two hundred thirty-two billion, two hundred twenty-four million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 31 37 38 62 74 76 95 124 148 155 185 190 310 370 380 589 620 703 740 1147 1178 1406 2294 2356 2812 2945 3515 4588 5735 5890 7030 11470 11780 14060 21793 22940 43586 87172 108965 217930 435860 46419089 92838178 185676356 232095445 464190890 881962691 928381780 1438991759 1717506293 1763925382 2877983518 3435012586 3527850764 4409813455 5755967036 6870025172 7194958795 8587531465 8819626910 14389917590 17175062930 17639253820 27340843421 28779835180 32632619567 34350125860 53242695083 54681686842 65265239134 106485390166 109363373684 130530478268 136704217105 163163097835 212970780332 266213475415 273408434210 326326195670 532426950830 546816868420 652652391340 1011611206577 1064853901660 2023222413154 4046444826308 5058056032885 10116112065770 20232224131540