Search a number
-
+
223112134212 = 2231143223359491
BaseRepresentation
bin1100111111001010000…
…1001111111001000100
3210022220001211202022020
43033302201033321010
512123413201243322
6250255111203140
722055632564332
oct3176241177104
9708801752266
10223112134212
1186691a8a770
12372a79764b0
13180686acc36
14ab2783cb52
155c0c53405c
hex33f284fe44

223112134212 has 192 divisors, whose sum is σ = 586553425920. Its totient is φ = 65424643200.

The previous prime is 223112134199. The next prime is 223112134277. The reversal of 223112134212 is 212431211322.

It is a super-3 number, since 3×2231121342123 (a number of 35 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 454403287 + ... + 454403777.

It is an arithmetic number, because the mean of its divisors is an integer number (3054965760).

Almost surely, 2223112134212 is an apocalyptic number.

223112134212 is a gapful number since it is divisible by the number (22) 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 223112134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293276712960).

223112134212 is an abundant number, since it is smaller than the sum of its proper divisors (363441291708).

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

223112134212 is a wasteful number, since it uses less digits than its factorization.

223112134212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1132 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 223112134212 its reverse (212431211322), we get a palindrome (435543345534).

The spelling of 223112134212 in words is "two hundred twenty-three billion, one hundred twelve million, one hundred thirty-four thousand, two hundred twelve".