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221230102320 = 24325498761613
BaseRepresentation
bin1100111000001001010…
…1110111011100110000
3210011000220110121220100
43032002111313130300
512111034401233240
6245344240512400
721661200562023
oct3160225673460
9704026417810
10221230102320
1185906697307
1236a6161b700
1317b287ca9b6
14a9c98d11ba
155b4c1c4e30
hex3382577730

221230102320 has 120 divisors (see below), whose sum is σ = 743125468176. Its totient is φ = 58981906944.

The previous prime is 221230102319. The next prime is 221230102333. The reversal of 221230102320 is 23201032122.

221230102320 is a `hidden beast` number, since 2 + 212 + 30 + 102 + 320 = 666.

221230102320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221230102293 and 221230102302.

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, 3559834 + ... + 3621446.

Almost surely, 2221230102320 is an apocalyptic number.

221230102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221230102320 is an abundant number, since it is smaller than the sum of its proper divisors (521895365856).

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

221230102320 is a wasteful number, since it uses less digits than its factorization.

221230102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66619 (or 66610 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221230102320 its reverse (23201032122), we get a palindrome (244431134442).

The spelling of 221230102320 in words is "two hundred twenty-one billion, two hundred thirty million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4987 9974 14961 19948 24935 29922 39896 44883 49870 59844 61613 74805 79792 89766 99740 119688 123226 149610 179532 184839 199480 224415 239376 246452 299220 308065 359064 369678 398960 448830 492904 554517 598440 616130 718128 739356 897660 924195 985808 1109034 1196880 1232260 1478712 1795320 1848390 2218068 2464520 2772585 2957424 3590640 3696780 4436136 4929040 5545170 7393560 8872272 11090340 14787120 22180680 44361360 307264031 614528062 921792093 1229056124 1536320155 1843584186 2458112248 2765376279 3072640310 3687168372 4608960465 4916224496 5530752558 6145280620 7374336744 9217920930 11061505116 12290561240 13826881395 14748673488 18435841860 22123010232 24581122480 27653762790 36871683720 44246020464 55307525580 73743367440 110615051160 221230102320