Search a number
-
+
222101312220 = 2232511969103091
BaseRepresentation
bin1100111011011001000…
…1010001001011011100
3210020021121210200012200
43032312101101023130
512114330413442340
6250010521531500
722021610001414
oct3166621211334
9706247720180
10222101312220
1186213445197
1237065343b90
1317c37154008
14aa6d4b5644
155b9d916330
hex33b64512dc

222101312220 has 72 divisors (see below), whose sum is σ = 673770137040. Its totient is φ = 59221493760.

The previous prime is 222101312203. The next prime is 222101312227. The reversal of 222101312220 is 22213101222.

222101312220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 222101312193 and 222101312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101312227) by changing a digit.

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, 2102875 + ... + 2205965.

It is an arithmetic number, because the mean of its divisors is an integer number (9357918570).

Almost surely, 2222101312220 is an apocalyptic number.

222101312220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101312220 is an abundant number, since it is smaller than the sum of its proper divisors (451668824820).

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

222101312220 is a wasteful number, since it uses less digits than its factorization.

222101312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115075 (or 115070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222101312220 its reverse (22213101222), we get a palindrome (244314413442).

The spelling of 222101312220 in words is "two hundred twenty-two billion, one hundred one million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11969 23938 35907 47876 59845 71814 103091 107721 119690 143628 179535 206182 215442 239380 309273 359070 412364 430884 515455 538605 618546 718140 927819 1030910 1077210 1237092 1546365 1855638 2061820 2154420 3092730 3711276 4639095 6185460 9278190 18556380 1233896179 2467792358 3701688537 4935584716 6169480895 7403377074 11105065611 12338961790 14806754148 18508442685 22210131222 24677923580 37016885370 44420262444 55525328055 74033770740 111050656110 222101312220