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465223444 = 227213118119
BaseRepresentation
bin11011101110101…
…011111100010100
31012102101210120221
4123232223330110
51423044122234
6114055204124
714346222400
oct3356537424
91172353527
10465223444
11219674294
1210b976644
13754c9c5a
1445b02100
152ac98eb4
hex1bbabf14

465223444 has 36 divisors (see below), whose sum is σ = 954344160. Its totient is φ = 197848560.

The previous prime is 465223441. The next prime is 465223457. The reversal of 465223444 is 444322564.

It is a super-2 number, since 2×4652234442 = 432865705694442272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465223441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16617 + ... + 34735.

It is an arithmetic number, because the mean of its divisors is an integer number (26509560).

Almost surely, 2465223444 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 465223444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477172080).

465223444 is an abundant number, since it is smaller than the sum of its proper divisors (489120716).

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

465223444 is a wasteful number, since it uses less digits than its factorization.

465223444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18268 (or 18259 counting only the distinct ones).

The product of its digits is 92160, while the sum is 34.

The square root of 465223444 is about 21569.0390142908. The cubic root of 465223444 is about 774.8551621112.

The spelling of 465223444 in words is "four hundred sixty-five million, two hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 131 196 262 524 917 1834 3668 6419 12838 18119 25676 36238 72476 126833 253666 507332 887831 1775662 2373589 3551324 4747178 9494356 16615123 33230246 66460492 116305861 232611722 465223444