Search a number
-
+
223102211213310 = 2351113314753673459
BaseRepresentation
bin110010101110100100001000…
…000011000100011111111110
31002020221100210200210110100020
4302232210020003010133332
5213220301312032311220
62110255424012113010
764664413526513202
oct6256441003043776
91066840720713306
10223102211213310
11650a6130a70480
1221032853165766
1397645a9a3b790
143d142c1754b02
151abd601a88040
hexcae9080c47fe

223102211213310 has 512 divisors, whose sum is σ = 675676103639040. Its totient is φ = 46394252236800.

The previous prime is 223102211213309. The next prime is 223102211213369. The reversal of 223102211213310 is 13312112201322.

It is a super-3 number, since 3×2231022112133103 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 330941361 + ... + 331614819.

It is an arithmetic number, because the mean of its divisors is an integer number (1319679889920).

Almost surely, 2223102211213310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223102211213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337838051819520).

223102211213310 is an abundant number, since it is smaller than the sum of its proper divisors (452573892425730).

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

223102211213310 is a wasteful number, since it uses less digits than its factorization.

223102211213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673624.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 223102211213310 its reverse (13312112201322), we get a palindrome (236414323414632).

The spelling of 223102211213310 in words is "two hundred twenty-three trillion, one hundred two billion, two hundred eleven million, two hundred thirteen thousand, three hundred ten".