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2278880142 = 237211704663
BaseRepresentation
bin1000011111010100…
…1111001110001110
312212211010002212020
42013311033032032
514131343131032
61014044151010
7110321106300
oct20765171616
95784102766
102278880142
11a6a406420
12537238466
132a418c0b6
14178931970
15d50edb2c
hex87d4f38e

2278880142 has 48 divisors (see below), whose sum is σ = 5783882112. Its totient is φ = 591916080.

The previous prime is 2278880101. The next prime is 2278880161. The reversal of 2278880142 is 2410888722.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2278880094 and 2278880103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349098 + ... + 355565.

It is an arithmetic number, because the mean of its divisors is an integer number (120497544).

Almost surely, 22278880142 is an apocalyptic number.

2278880142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2278880142 is an abundant number, since it is smaller than the sum of its proper divisors (3505001970).

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

2278880142 is a wasteful number, since it uses less digits than its factorization.

2278880142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704693 (or 704686 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 2278880142 is about 47737.6176824944. The cubic root of 2278880142 is about 1315.9533520510.

The spelling of 2278880142 in words is "two billion, two hundred seventy-eight million, eight hundred eighty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 704663 1409326 2113989 4227978 4932641 7751293 9865282 14797923 15502586 23253879 29595846 34528487 46507758 54259051 69056974 103585461 108518102 162777153 207170922 325554306 379813357 759626714 1139440071 2278880142