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221322232230 = 235111016640331
BaseRepresentation
bin1100111000011111010…
…1010100000110100110
3210011021022211022101020
43032013311110012212
512111231442412410
6245401331312010
721663366635241
oct3160765240646
9704238738336
10221322232230
11859536a2930
1236a8844b606
1317b41917238
14a9d7c34258
155b55322a70
hex3387d541a6

221322232230 has 64 divisors (see below), whose sum is σ = 585199178496. Its totient is φ = 53122640000.

The previous prime is 221322232217. The next prime is 221322232231. The reversal of 221322232230 is 32232223122.

221322232230 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 221322232230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221322232231) 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 31 ways as a sum of consecutive naturals, for example, 3286836 + ... + 3353495.

It is an arithmetic number, because the mean of its divisors is an integer number (9143737164).

Almost surely, 2221322232230 is an apocalyptic number.

221322232230 is an abundant number, since it is smaller than the sum of its proper divisors (363876946266).

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

221322232230 is a wasteful number, since it uses less digits than its factorization.

221322232230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640453.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 221322232230 its reverse (32232223122), we get a palindrome (253554455352).

The spelling of 221322232230 in words is "two hundred twenty-one billion, three hundred twenty-two million, two hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 6640331 13280662 19920993 33201655 39841986 66403310 73043641 99604965 146087282 199209930 219130923 365218205 438261846 670673431 730436410 1095654615 1341346862 2012020293 2191309230 3353367155 4024040586 6706734310 7377407741 10060101465 14754815482 20120202930 22132223223 36887038705 44264446446 73774077410 110661116115 221322232230