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468227732 = 227214916033
BaseRepresentation
bin11011111010001…
…001011010010100
31012122001102200212
4123322021122110
51424331241412
6114243424552
714413604300
oct3372113224
91178042625
10468227732
11220336475
12110985158
137600c53b
1446284d00
152b18e222
hex1be89694

468227732 has 36 divisors (see below), whose sum is σ = 959634900. Its totient is φ = 199309824.

The previous prime is 468227729. The next prime is 468227741. The reversal of 468227732 is 237722864.

It can be written as a sum of positive squares in 2 ways, for example, as 18957316 + 449270416 = 4354^2 + 21196^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 468227732.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21188 + ... + 37220.

It is an arithmetic number, because the mean of its divisors is an integer number (26656525).

Almost surely, 2468227732 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 468227732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479817450).

468227732 is an abundant number, since it is smaller than the sum of its proper divisors (491407168).

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

468227732 is a wasteful number, since it uses less digits than its factorization.

468227732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16200 (or 16191 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 468227732 is about 21638.5704703430. The cubic root of 468227732 is about 776.5195200573.

The spelling of 468227732 in words is "four hundred sixty-eight million, two hundred twenty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 596 1043 2086 4172 7301 14602 16033 29204 32066 64132 112231 224462 448924 785617 1571234 2388917 3142468 4777834 9555668 16722419 33444838 66889676 117056933 234113866 468227732