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463220900 = 225211340993
BaseRepresentation
bin11011100111000…
…011000010100100
31012021122001121122
4123213003002210
51422041032100
6113544233112
714323212152
oct3347030244
91167561548
10463220900
1121852679a
1210b16b798
1374c7860c
14457403d2
152aa00985
hex1b9c30a4

463220900 has 36 divisors (see below), whose sum is σ = 1014109572. Its totient is φ = 183644160.

The previous prime is 463220887. The next prime is 463220903. The reversal of 463220900 is 9022364.

It can be written as a sum of positive squares in 6 ways, for example, as 177475684 + 285745216 = 13322^2 + 16904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 463220900.

It is not an unprimeable number, because it can be changed into a prime (463220903) 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 11 ways as a sum of consecutive naturals, for example, 9197 + ... + 31796.

Almost surely, 2463220900 is an apocalyptic number.

It is an amenable number.

463220900 is an abundant number, since it is smaller than the sum of its proper divisors (550888672).

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

463220900 is a wasteful number, since it uses less digits than its factorization.

463220900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41120 (or 41113 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 463220900 is about 21522.5672260537. The cubic root of 463220900 is about 773.7417807829.

The spelling of 463220900 in words is "four hundred sixty-three million, two hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 40993 81986 163972 204965 409930 819860 1024825 2049650 4099300 4632209 9264418 18528836 23161045 46322090 92644180 115805225 231610450 463220900