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2260534248 = 233272640741
BaseRepresentation
bin1000011010111101…
…0000001111101000
312211112121001000200
42012233100033220
514112144043443
61012151032200
7110006136600
oct20657201750
95745531020
102260534248
11a60015925
1253106b660
132a043783b
14176317c00
15d36c7dd3
hex86bd03e8

2260534248 has 72 divisors (see below), whose sum is σ = 7121847330. Its totient is φ = 645865920.

The previous prime is 2260534247. The next prime is 2260534259. The reversal of 2260534248 is 8424350622.

2260534248 is a `hidden beast` number, since 2 + 2 + 605 + 3 + 4 + 2 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1489805604 + 770728644 = 38598^2 + 27762^2 .

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

It is a super-2 number, since 2×22605342482 = 10220030172761851008, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2260534247) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 316843 + ... + 323898.

Almost surely, 22260534248 is an apocalyptic number.

2260534248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2260534248 is an abundant number, since it is smaller than the sum of its proper divisors (4861313082).

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

2260534248 is a wasteful number, since it uses less digits than its factorization.

2260534248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640767 (or 640753 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2260534248 is about 47545.0759595565. The cubic root of 2260534248 is about 1312.4125168357.

The spelling of 2260534248 in words is "two billion, two hundred sixty million, five hundred thirty-four thousand, two hundred forty-eight".

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 640741 1281482 1922223 2562964 3844446 4485187 5125928 5766669 7688892 8970374 11533338 13455561 15377784 17940748 23066676 26911122 31396309 35881496 40366683 46133352 53822244 62792618 80733366 94188927 107644488 125585236 161466732 188377854 251170472 282566781 322933464 376755708 565133562 753511416 1130267124 2260534248