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263216148 = 2231321071213
BaseRepresentation
bin11111011000001…
…01110000010100
3200100021202200020
433230011300110
51014340404043
642041345140
76344205006
oct1754056024
9610252606
10263216148
11125640208
12741981b0
13426bc100
1426d5a376
1518194e83
hexfb05c14

263216148 has 72 divisors (see below), whose sum is σ = 671817888. Its totient is φ = 80166528.

The previous prime is 263216147. The next prime is 263216153. The reversal of 263216148 is 841612362.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263216147) 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 23 ways as a sum of consecutive naturals, for example, 216390 + ... + 217602.

It is an arithmetic number, because the mean of its divisors is an integer number (9330804).

Almost surely, 2263216148 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 263216148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335908944).

263216148 is an abundant number, since it is smaller than the sum of its proper divisors (408601740).

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

263216148 is a wasteful number, since it uses less digits than its factorization.

263216148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1338 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 263216148 is about 16223.9374998796. The cubic root of 263216148 is about 640.8713294642.

The spelling of 263216148 in words is "two hundred sixty-three million, two hundred sixteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 169 214 321 338 428 507 642 676 1014 1213 1284 1391 2028 2426 2782 3639 4173 4852 5564 7278 8346 14556 15769 16692 18083 31538 36166 47307 54249 63076 72332 94614 108498 129791 189228 204997 216996 259582 389373 409994 519164 614991 778746 819988 1229982 1557492 1687283 2459964 3374566 5061849 6749132 10123698 20247396 21934679 43869358 65804037 87738716 131608074 263216148