Search a number
-
+
222230321100 = 223252892774411
BaseRepresentation
bin1100111011110111110…
…1011001011111001100
3210020121121120000010100
43032331331121133030
512120111430233400
6250031411011100
722025034363534
oct3167575313714
9706547500110
10222230321100
118627a24a4a7
12370a0599a90
1317c57ab3628
14aa826984c4
155ba9deb100
hex33bdf597cc

222230321100 has 108 divisors (see below), whose sum is σ = 704395462680. Its totient is φ = 58595539200.

The previous prime is 222230321087. The next prime is 222230321101. The reversal of 222230321100 is 1123032222.

222230321100 is a `hidden beast` number, since 22 + 223 + 0 + 321 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (222230321101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1307106 + ... + 1467305.

It is an arithmetic number, because the mean of its divisors is an integer number (6522180210).

Almost surely, 2222230321100 is an apocalyptic number.

222230321100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222230321100 is an abundant number, since it is smaller than the sum of its proper divisors (482165141580).

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

222230321100 is a wasteful number, since it uses less digits than its factorization.

222230321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774520 (or 2774510 counting only the distinct ones).

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

Adding to 222230321100 its reverse (1123032222), we get a palindrome (223353353322).

The spelling of 222230321100 in words is "two hundred twenty-two billion, two hundred thirty million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 89 90 100 150 178 180 225 267 300 356 445 450 534 801 890 900 1068 1335 1602 1780 2225 2670 3204 4005 4450 5340 6675 8010 8900 13350 16020 20025 26700 40050 80100 2774411 5548822 8323233 11097644 13872055 16646466 24969699 27744110 33292932 41616165 49939398 55488220 69360275 83232330 99878796 124848495 138720550 166464660 208080825 246922579 249696990 277441100 416161650 493845158 499393980 624242475 740767737 832323300 987690316 1234612895 1248484950 1481535474 2222303211 2469225790 2496969900 2963070948 3703838685 4444606422 4938451580 6173064475 7407677370 8889212844 11111516055 12346128950 14815354740 18519193425 22223032110 24692257900 37038386850 44446064220 55557580275 74076773700 111115160550 222230321100