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221143450304 = 2676167120779
BaseRepresentation
bin1100110111110100101…
…1010100001011000000
3210010210212102020200102
43031331023110023000
512110400210402204
6245331503341532
721656066212160
oct3157513241300
9703725366612
10221143450304
1185871792377
1236a385b18a8
1317b1387b90a
14a9bc1b65a0
155b447aa41e
hex337d2d42c0

221143450304 has 112 divisors (see below), whose sum is σ = 517355815680. Its totient is φ = 91829928960.

The previous prime is 221143450273. The next prime is 221143450321. The reversal of 221143450304 is 403054341122.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2211434503042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770587 + ... + 1891365.

Almost surely, 2221143450304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221143450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258677907840).

221143450304 is an abundant number, since it is smaller than the sum of its proper divisors (296212365376).

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

221143450304 is a wasteful number, since it uses less digits than its factorization.

221143450304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120926 (or 120916 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 221143450304 its reverse (403054341122), we get a palindrome (624197791426).

The spelling of 221143450304 in words is "two hundred twenty-one billion, one hundred forty-three million, four hundred fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 67 112 122 134 224 244 268 427 448 469 488 536 854 938 976 1072 1708 1876 1952 2144 3416 3752 3904 4087 4288 6832 7504 8174 13664 15008 16348 27328 28609 30016 32696 57218 65392 114436 120779 130784 228872 241558 261568 457744 483116 845453 915488 966232 1690906 1830976 1932464 3381812 3864928 6763624 7367519 7729856 8092193 13527248 14735038 16184386 27054496 29470076 32368772 51572633 54108992 56645351 58940152 64737544 103145266 113290702 117880304 129475088 206290532 226581404 235760608 258950176 412581064 453162808 471521216 493623773 517900352 825162128 906325616 987247546 1650324256 1812651232 1974495092 3300648512 3455366411 3625302464 3948990184 6910732822 7897980368 13821465644 15795960736 27642931288 31591921472 55285862576 110571725152 221143450304