Search a number
-
+
22544140031000 = 2353729111054877
BaseRepresentation
bin1010010000000111101110…
…11101010101010000011000
32221211012100212202222020022
411020003313131111100120
510423330344321443000
6115540345052250012
74514521543333340
oct510036735252030
987735325688208
1022544140031000
117201a09360985
122641256a70908
13c76b986882c3
1457d1dc2a3d20
15291658b64585
hex1480f7755418

22544140031000 has 128 divisors (see below), whose sum is σ = 62368419484800. Its totient is φ = 7462887667200.

The previous prime is 22544140030999. The next prime is 22544140031051. The reversal of 22544140031000 is 13004144522.

It is a super-2 number, since 2×225441400310002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55324439 + ... + 55730438.

It is an arithmetic number, because the mean of its divisors is an integer number (487253277225).

Almost surely, 222544140031000 is an apocalyptic number.

22544140031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22544140031000 is an abundant number, since it is smaller than the sum of its proper divisors (39824279453800).

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

22544140031000 is a wasteful number, since it uses less digits than its factorization.

22544140031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111054934 (or 111054920 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 22544140031000 its reverse (13004144522), we get a palindrome (22557144175522).

The spelling of 22544140031000 in words is "twenty-two trillion, five hundred forty-four billion, one hundred forty million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 29 35 40 50 56 58 70 100 116 125 140 145 175 200 203 232 250 280 290 350 406 500 580 700 725 812 875 1000 1015 1160 1400 1450 1624 1750 2030 2900 3500 3625 4060 5075 5800 7000 7250 8120 10150 14500 20300 25375 29000 40600 50750 101500 203000 111054877 222109754 444219508 555274385 777384139 888439016 1110548770 1554768278 2221097540 2776371925 3109536556 3220591433 3886920695 4442195080 5552743850 6219073112 6441182866 7773841390 11105487700 12882365732 13881859625 15547682780 16102957165 19434603475 22210975400 22544140031 25764731464 27763719250 31095365560 32205914330 38869206950 45088280062 55527438500 64411828660 77738413900 80514785825 90176560124 97173017375 111054877000 112720700155 128823657320 155476827800 161029571650 180353120248 194346034750 225441400310 322059143300 388692069500 402573929125 450882800620 563603500775 644118286600 777384139000 805147858250 901765601240 1127207001550 1610295716500 2254414003100 2818017503875 3220591433000 4508828006200 5636035007750 11272070015500 22544140031000