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248223416 = 23723371879
BaseRepresentation
bin11101100101110…
…01011010111000
3122022002001111212
432302321122320
51002021122131
640344142252
76102602300
oct1662713270
9568061455
10248223416
1111812aa21
126b167988
133c56cb7c
1424d76600
1516bd2a2b
hexecb96b8

248223416 has 48 divisors (see below), whose sum is σ = 543301200. Its totient is φ = 106009344.

The previous prime is 248223401. The next prime is 248223427. The reversal of 248223416 is 614322842.

It is a super-2 number, since 2×2482234162 = 123229728501418112, which contains 22 as substring.

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, 131165 + ... + 133043.

It is an arithmetic number, because the mean of its divisors is an integer number (11318775).

Almost surely, 2248223416 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 248223416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271650600).

248223416 is an abundant number, since it is smaller than the sum of its proper divisors (295077784).

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

248223416 is a wasteful number, since it uses less digits than its factorization.

248223416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2225 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 248223416 is about 15755.1076162621. The cubic root of 248223416 is about 628.4647390942.

The spelling of 248223416 in words is "two hundred forty-eight million, two hundred twenty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 337 392 674 1348 1879 2359 2696 3758 4718 7516 9436 13153 15032 16513 18872 26306 33026 52612 66052 92071 105224 132104 184142 368284 633223 736568 1266446 2532892 4432561 5065784 8865122 17730244 31027927 35460488 62055854 124111708 248223416