Search a number
-
+
222103322112 = 2937127311523
BaseRepresentation
bin1100111011011001100…
…0111011111000000000
3210020021202120210021010
43032312120323320000
512114331422301422
6250011033000520
722021633042230
oct3166630737000
9706252523233
10222103322112
1186214598261
1237065b53140
1317c376a8ab9
14aa6d879cc0
155b9dbb1b0c
hex33b663be00

222103322112 has 320 divisors, whose sum is σ = 685048725504. Its totient is φ = 62635991040.

The previous prime is 222103322081. The next prime is 222103322137. The reversal of 222103322112 is 211223301222.

222103322112 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 (21).

It is a congruent number.

It is an unprimeable number.

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, 424671483 + ... + 424672005.

Almost surely, 2222103322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222103322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342524362752).

222103322112 is an abundant number, since it is smaller than the sum of its proper divisors (462945403392).

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

222103322112 is a wasteful number, since it uses less digits than its factorization.

222103322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 222103322112 its reverse (211223301222), we get a palindrome (433326623334).

The spelling of 222103322112 in words is "two hundred twenty-two billion, one hundred three million, three hundred twenty-two thousand, one hundred twelve".