Search a number
-
+
222112303020 = 223252395163001
BaseRepresentation
bin1100111011011011101…
…1001100011110101100
3210020022101111001202100
43032312323030132230
512114341222144040
6250011553255100
722022102265516
oct3166673143654
9706271431670
10222112303020
11862196717a3
1237068b64490
1317c3950184a
14aa70b36bb6
155b9e887b30
hex33b6ecc7ac

222112303020 has 72 divisors (see below), whose sum is σ = 676559782080. Its totient is φ = 58982112000.

The previous prime is 222112303003. The next prime is 222112303027. The reversal of 222112303020 is 20303211222.

222112303020 is a `hidden beast` number, since 222 + 112 + 30 + 302 + 0 = 666.

It is a super-2 number, since 2×2221123030202 (a number of 23 digits) contains 22 as substring.

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 = 222112302984 and 222112303002.

It is not an unprimeable number, because it can be changed into a prime (222112303027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2538481 + ... + 2624520.

It is an arithmetic number, because the mean of its divisors is an integer number (9396663640).

Almost surely, 2222112303020 is an apocalyptic number.

222112303020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112303020 is an abundant number, since it is smaller than the sum of its proper divisors (454447479060).

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

222112303020 is a wasteful number, since it uses less digits than its factorization.

222112303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163255 (or 5163250 counting only the distinct ones).

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

Adding to 222112303020 its reverse (20303211222), we get a palindrome (242415514242).

The spelling of 222112303020 in words is "two hundred twenty-two billion, one hundred twelve million, three hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 478 717 956 1195 1434 2151 2390 2868 3585 4302 4780 7170 8604 10755 14340 21510 43020 5163001 10326002 15489003 20652004 25815005 30978006 46467009 51630010 61956012 77445015 92934018 103260020 154890030 185868036 232335045 309780060 464670090 929340180 1233957239 2467914478 3701871717 4935828956 6169786195 7403743434 11105615151 12339572390 14807486868 18509358585 22211230302 24679144780 37018717170 44422460604 55528075755 74037434340 111056151510 222112303020