Search a number
-
+
222031030320 = 243251128034221
BaseRepresentation
bin1100111011001000010…
…1001010100000110000
3210020002201112222120100
43032302011022200300
512114204420432240
6245555531312400
722020064422051
oct3166205124060
9706081488510
10222031030320
1186187801380
12370458ab700
1317c257170a8
14aa6401c728
155b97681e30
hex33b214a830

222031030320 has 120 divisors (see below), whose sum is σ = 813440985552. Its totient is φ = 53825702400.

The previous prime is 222031030289. The next prime is 222031030321. The reversal of 222031030320 is 23030130222.

It is a happy number.

222031030320 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 310 + 30 + 320 = 666.

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 = 222031030293 and 222031030302.

It is not an unprimeable number, because it can be changed into a prime (222031030321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14009191 + ... + 14025030.

Almost surely, 2222031030320 is an apocalyptic number.

222031030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222031030320 is an abundant number, since it is smaller than the sum of its proper divisors (591409955232).

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

222031030320 is a wasteful number, since it uses less digits than its factorization.

222031030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28034251 (or 28034242 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 222031030320 its reverse (23030130222), we get a palindrome (245061160542).

The spelling of 222031030320 in words is "two hundred twenty-two billion, thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 28034221 56068442 84102663 112136884 140171105 168205326 224273768 252307989 280342210 308376431 336410652 420513315 448547536 504615978 560684420 616752862 672821304 841026630 925129293 1009231956 1121368840 1233505724 1261539945 1345642608 1541882155 1682053260 1850258586 2018463912 2242737680 2467011448 2523079890 2775387879 3083764310 3364106520 3700517172 4036927824 4625646465 4934022896 5046159780 5550775758 6167528620 6728213040 7401034344 9251292930 10092319560 11101551516 12335057240 13876939395 14802068688 18502585860 20184639120 22203103032 24670114480 27753878790 37005171720 44406206064 55507757580 74010343440 111015515160 222031030320