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468222648 = 23347443937
BaseRepresentation
bin11011111010001…
…000001010111000
31012122001011201120
4123322020022320
51424331111043
6114243345240
714413553415
oct3372101270
91178034646
10468222648
11220332673
12110982220
137600a12a
144628310c
152b18c983
hex1be882b8

468222648 has 64 divisors (see below), whose sum is σ = 1199439360. Its totient is φ = 152246016.

The previous prime is 468222613. The next prime is 468222659. The reversal of 468222648 is 846222864.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499236 + ... + 500172.

It is an arithmetic number, because the mean of its divisors is an integer number (18741240).

Almost surely, 2468222648 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 468222648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599719680).

468222648 is an abundant number, since it is smaller than the sum of its proper divisors (731216712).

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

468222648 is a wasteful number, since it uses less digits than its factorization.

468222648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1432 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 468222648 is about 21638.4529946112. The cubic root of 468222648 is about 776.5167095734.

The spelling of 468222648 in words is "four hundred sixty-eight million, two hundred twenty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 443 564 886 937 1128 1329 1772 1874 2658 2811 3544 3748 5316 5622 7496 10632 11244 20821 22488 41642 44039 62463 83284 88078 124926 132117 166568 176156 249852 264234 352312 415091 499704 528468 830182 1056936 1245273 1660364 2490546 3320728 4981092 9962184 19509277 39018554 58527831 78037108 117055662 156074216 234111324 468222648