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465227780 = 2251711312109
BaseRepresentation
bin11011101110101…
…101000000000100
31012102102000112112
4123232231000010
51423044242110
6114055240152
714346241133
oct3356550004
91172360475
10465227780
11219677576
1210b979058
13754cbc14
1445b0391a
152ac9a405
hex1bbad004

465227780 has 48 divisors (see below), whose sum is σ = 1043688240. Its totient is φ = 173580288.

The previous prime is 465227753. The next prime is 465227821. The reversal of 465227780 is 87722564.

It can be written as a sum of positive squares in 8 ways, for example, as 6240004 + 458987776 = 2498^2 + 21424^2 .

It is an unprimeable number.

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, 32366 + ... + 44474.

It is an arithmetic number, because the mean of its divisors is an integer number (21743505).

Almost surely, 2465227780 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 465227780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521844120).

465227780 is an abundant number, since it is smaller than the sum of its proper divisors (578460460).

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

465227780 is a wasteful number, since it uses less digits than its factorization.

465227780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12248 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 465227780 is about 21569.1395285023. The cubic root of 465227780 is about 774.8575693857.

The spelling of 465227780 in words is "four hundred sixty-five million, two hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 12109 19210 24218 38420 48436 60545 121090 205853 242180 411706 823412 1029265 1368317 2058530 2736634 4117060 5473268 6841585 13683170 23261389 27366340 46522778 93045556 116306945 232613890 465227780