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248297112 = 23327270379
BaseRepresentation
bin11101100110010…
…11011010011000
3122022012210121100
432303023122120
51002031001422
640345511400
76103330200
oct1663133230
9568183540
10248297112
11118180328
126b1a2560
133c59758b
1424d95400
1516be97ac
hexeccb698

248297112 has 72 divisors (see below), whose sum is σ = 782273700. Its totient is φ = 70941024.

The previous prime is 248297059. The next prime is 248297123. The reversal of 248297112 is 211792842.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 31662 + ... + 38717.

Almost surely, 2248297112 is an apocalyptic number.

It is an amenable number.

248297112 is an abundant number, since it is smaller than the sum of its proper divisors (533976588).

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

248297112 is a wasteful number, since it uses less digits than its factorization.

248297112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70405 (or 70391 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 248297112 is about 15757.4462397941. The cubic root of 248297112 is about 628.5269287072.

The spelling of 248297112 in words is "two hundred forty-eight million, two hundred ninety-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 70379 140758 211137 281516 422274 492653 563032 633411 844548 985306 1266822 1477959 1689096 1970612 2533644 2955918 3448571 3941224 4433877 5067288 5911836 6897142 8867754 10345713 11823672 13794284 17735508 20691426 27588568 31037139 35471016 41382852 62074278 82765704 124148556 248297112