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21223144400 = 2452196145779
BaseRepresentation
bin10011110000111111…
…110111101111010000
32000210002002102221012
4103300333313233100
5321431111110100
613425541350052
71350633515363
oct236077675720
960702072835
1021223144400
119000a03567
124143708328
132002c13813
14105491c0da
15843329135
hex4f0ff7bd0

21223144400 has 120 divisors (see below), whose sum is σ = 54553279200. Its totient is φ = 7910438400.

The previous prime is 21223144387. The next prime is 21223144421. The reversal of 21223144400 is 444132212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440711 + ... + 486489.

It is an arithmetic number, because the mean of its divisors is an integer number (454610660).

Almost surely, 221223144400 is an apocalyptic number.

21223144400 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 21223144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276639600).

21223144400 is an abundant number, since it is smaller than the sum of its proper divisors (33330134800).

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

21223144400 is a wasteful number, since it uses less digits than its factorization.

21223144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45877 (or 45866 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 21223144400 its reverse (444132212), we get a palindrome (21667276612).

The spelling of 21223144400 in words is "twenty-one billion, two hundred twenty-three million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 61 76 80 95 100 122 152 190 200 244 304 305 380 400 475 488 610 760 950 976 1159 1220 1520 1525 1900 2318 2440 3050 3800 4636 4880 5795 6100 7600 9272 11590 12200 18544 23180 24400 28975 45779 46360 57950 91558 92720 115900 183116 228895 231800 366232 457790 463600 732464 869801 915580 1144475 1739602 1831160 2288950 2792519 3479204 3662320 4349005 4577900 5585038 6958408 8698010 9155800 11170076 13916816 13962595 17396020 18311600 21745025 22340152 27925190 34792040 43490050 44680304 53057861 55850380 69584080 69812975 86980100 106115722 111700760 139625950 173960200 212231444 223401520 265289305 279251900 347920400 424462888 530578610 558503800 848925776 1061157220 1117007600 1326446525 2122314440 2652893050 4244628880 5305786100 10611572200 21223144400