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43220104400 = 24521111386927
BaseRepresentation
bin101000010000000111…
…100111010011010000
311010120002020210022102
4220100013213103100
51202003321320100
631504404455532
73060014553164
oct502007472320
9133502223272
1043220104400
1117369693150
1284623aa5a8
1340ca23cb95
14214010aca4
1511ce556cd5
hexa101e74d0

43220104400 has 120 divisors (see below), whose sum is σ = 114279721344. Its totient is φ = 15577139200.

The previous prime is 43220104381. The next prime is 43220104451. The reversal of 43220104400 is 440102234.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453737 + ... + 540663.

Almost surely, 243220104400 is an apocalyptic number.

43220104400 is a gapful number since it is divisible by the number (40) 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 43220104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139860672).

43220104400 is an abundant number, since it is smaller than the sum of its proper divisors (71059616944).

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

43220104400 is a wasteful number, since it uses less digits than its factorization.

43220104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87069 (or 87058 counting only the distinct ones).

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

Adding to 43220104400 its reverse (440102234), we get a palindrome (43660206634).

The spelling of 43220104400 in words is "forty-three billion, two hundred twenty million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 113 176 200 220 226 275 400 440 452 550 565 880 904 1100 1130 1243 1808 2200 2260 2486 2825 4400 4520 4972 5650 6215 9040 9944 11300 12430 19888 22600 24860 31075 45200 49720 62150 86927 99440 124300 173854 248600 347708 434635 497200 695416 869270 956197 1390832 1738540 1912394 2173175 3477080 3824788 4346350 4780985 6954160 7649576 8692700 9561970 9822751 15299152 17385400 19123940 19645502 23904925 34770800 38247880 39291004 47809850 49113755 76495760 78582008 95619700 98227510 108050261 157164016 191239400 196455020 216100522 245568775 382478800 392910040 432201044 491137550 540251305 785820080 864402088 982275100 1080502610 1728804176 1964550200 2161005220 2701256525 3929100400 4322010440 5402513050 8644020880 10805026100 21610052200 43220104400