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463225004 = 221129734973
BaseRepresentation
bin11011100111000…
…100000010101100
31012021122021020122
4123213010002230
51422041200004
6113544304112
714323230134
oct3347040254
91167567218
10463225004
11218529890
1210b172038
1374c7a448
1445741ac4
152aa01cbe
hex1b9c40ac

463225004 has 48 divisors (see below), whose sum is σ = 927551520. Its totient is φ = 200471040.

The previous prime is 463225003. The next prime is 463225013. The reversal of 463225004 is 400522364.

It is a super-3 number, since 3×4632250043 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (463225003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90662 + ... + 95634.

It is an arithmetic number, because the mean of its divisors is an integer number (19323990).

Almost surely, 2463225004 is an apocalyptic number.

463225004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463225004 is an abundant number, since it is smaller than the sum of its proper divisors (464326516).

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

463225004 is a wasteful number, since it uses less digits than its factorization.

463225004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 463225004 is about 21522.6625676286. The cubic root of 463225004 is about 773.7440658171.

Adding to 463225004 its reverse (400522364), we get a palindrome (863747368).

The spelling of 463225004 in words is "four hundred sixty-three million, two hundred twenty-five thousand, four".

Divisors: 1 2 4 11 22 29 44 58 73 116 146 292 319 638 803 1276 1606 2117 3212 4234 4973 8468 9946 19892 23287 46574 54703 93148 109406 144217 218812 288434 363029 576868 726058 1452116 1586387 3172774 3993319 6345548 7986638 10527841 15973276 21055682 42111364 115806251 231612502 463225004