Search a number
-
+
22143400400 = 24521143117037
BaseRepresentation
bin10100100111110110…
…010111100111010000
32010011012201021211202
4110213312113213100
5330322202303100
614101133530332
71412506540442
oct244766274720
963135637752
1022143400400
119433410510
12435b9439a8
13211b77ccb4
141100c2c492
158990077d5
hex527d979d0

22143400400 has 120 divisors (see below), whose sum is σ = 59386017504. Its totient is φ = 7864819200.

The previous prime is 22143400381. The next prime is 22143400423. The reversal of 22143400400 is 400434122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130682 + ... + 247718.

Almost surely, 222143400400 is an apocalyptic number.

22143400400 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 22143400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29693008752).

22143400400 is an abundant number, since it is smaller than the sum of its proper divisors (37242617104).

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

22143400400 is a wasteful number, since it uses less digits than its factorization.

22143400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117109 (or 117098 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22143400400 its reverse (400434122), we get a palindrome (22543834522).

The spelling of 22143400400 in words is "twenty-two billion, one hundred forty-three million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 43 44 50 55 80 86 88 100 110 172 176 200 215 220 275 344 400 430 440 473 550 688 860 880 946 1075 1100 1720 1892 2150 2200 2365 3440 3784 4300 4400 4730 7568 8600 9460 11825 17200 18920 23650 37840 47300 94600 117037 189200 234074 468148 585185 936296 1170370 1287407 1872592 2340740 2574814 2925925 4681480 5032591 5149628 5851850 6437035 9362960 10065182 10299256 11703700 12874070 20130364 20598512 23407400 25162955 25748140 32185175 40260728 46814800 50325910 51496280 55358501 64370350 80521456 100651820 102992560 110717002 125814775 128740700 201303640 221434004 251629550 257481400 276792505 402607280 442868008 503259100 514962800 553585010 885736016 1006518200 1107170020 1383962525 2013036400 2214340040 2767925050 4428680080 5535850100 11071700200 22143400400