Search a number
-
+
222332220120 = 233529711316869
BaseRepresentation
bin1100111100010000001…
…0000111001011011000
3210020212201022000022010
43033010002013023120
512120314022020440
6250045451025520
722030412455323
oct3170402071330
9706781260263
10222332220120
118632181876a
123710a73b2a0
1317c72c405ca
14aa920217ba
155bb3d28580
hex33c40872d8

222332220120 has 256 divisors, whose sum is σ = 705158784000. Its totient is φ = 55998924800.

The previous prime is 222332220109. The next prime is 222332220167. The reversal of 222332220120 is 21022233222.

It is a super-2 number, since 2×2223322201202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32364046 + ... + 32370914.

It is an arithmetic number, because the mean of its divisors is an integer number (2754526500).

Almost surely, 2222332220120 is an apocalyptic number.

222332220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222332220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352579392000).

222332220120 is an abundant number, since it is smaller than the sum of its proper divisors (482826563880).

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

222332220120 is a wasteful number, since it uses less digits than its factorization.

222332220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 222332220120 its reverse (21022233222), we get a palindrome (243354453342).

The spelling of 222332220120 in words is "two hundred twenty-two billion, three hundred thirty-two million, two hundred twenty thousand, one hundred twenty".