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463223112 = 233119718089
BaseRepresentation
bin11011100111000…
…011100101001000
31012021122011122120
4123213003211020
51422041114422
6113544251240
714323221462
oct3347034510
91167564576
10463223112
11218528420
1210b170b20
1374c79621
1445741132
152aa0145c
hex1b9c3948

463223112 has 64 divisors (see below), whose sum is σ = 1276430400. Its totient is φ = 138915840.

The previous prime is 463223107. The next prime is 463223113. The reversal of 463223112 is 211322364.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (463223113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16564 + ... + 34652.

It is an arithmetic number, because the mean of its divisors is an integer number (19944225).

Almost surely, 2463223112 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 463223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638215200).

463223112 is an abundant number, since it is smaller than the sum of its proper divisors (813207288).

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

463223112 is a wasteful number, since it uses less digits than its factorization.

463223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18206 (or 18202 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 463223112 is about 21522.6186139141. The cubic root of 463223112 is about 773.7430123868.

Adding to 463223112 its reverse (211322364), we get a palindrome (674545476).

The spelling of 463223112 in words is "four hundred sixty-three million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 4268 6402 8536 12804 18089 25608 36178 54267 72356 108534 144712 198979 217068 397958 434136 596937 795916 1193874 1591832 1754633 2387748 3509266 4775496 5263899 7018532 10527798 14037064 19300963 21055596 38601926 42111192 57902889 77203852 115805778 154407704 231611556 463223112