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220042102248 = 233229310430513
BaseRepresentation
bin1100110011101110001…
…0000000010111101000
3210000222010000222011200
43030323202000113220
512101121234232443
6245030321524200
721616564002663
oct3147342002750
9700863028150
10220042102248
1185357037271
123678b7a3660
1317999648487
14a915c066da
155accc59dd3
hex333b8805e8

220042102248 has 48 divisors (see below), whose sum is σ = 597981367620. Its totient is φ = 73097028096.

The previous prime is 220042102243. The next prime is 220042102249. The reversal of 220042102248 is 842201240022.

220042102248 is a `hidden beast` number, since 2 + 200 + 4 + 210 + 2 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157210664004 + 62831438244 = 396498^2 + 250662^2 .

It is not an unprimeable number, because it can be changed into a prime (220042102243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5194161 + ... + 5236352.

Almost surely, 2220042102248 is an apocalyptic number.

It is an amenable number.

220042102248 is an abundant number, since it is smaller than the sum of its proper divisors (377939265372).

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

220042102248 is a wasteful number, since it uses less digits than its factorization.

220042102248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430818 (or 10430811 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 220042102248 in words is "two hundred twenty billion, forty-two million, one hundred two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 3516 5274 7032 10548 21096 10430513 20861026 31291539 41722052 62583078 83444104 93874617 125166156 187749234 250332312 375498468 750996936 3056140309 6112280618 9168420927 12224561236 18336841854 24449122472 27505262781 36673683708 55010525562 73347367416 110021051124 220042102248