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2226000042 = 2367218107
BaseRepresentation
bin1000010010101110…
…0001000010101010
312202010121112000000
42010223201002222
514024324000132
61004514523430
7106106455020
oct20453410252
95663545000
102226000042
11a42578862
12521596576
13296235ab6
141718c8710
15d065587c
hex84ae10aa

2226000042 has 56 divisors (see below), whose sum is σ = 5721409056. Its totient is φ = 635997096.

The previous prime is 2226000037. The next prime is 2226000061. The reversal of 2226000042 is 2400006222.

It is a happy number.

2226000042 is a `hidden beast` number, since 2 + 22 + 600 + 0 + 0 + 42 = 666.

It is a super-3 number, since 3×22260000423 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2225999979 and 2226000024.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 98848 + ... + 119259.

Almost surely, 22226000042 is an apocalyptic number.

2226000042 is an abundant number, since it is smaller than the sum of its proper divisors (3495409014).

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

2226000042 is an equidigital number, since it uses as much as digits as its factorization.

2226000042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218134 (or 218119 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2226000042 is about 47180.5048934409. The cubic root of 2226000042 is about 1305.6949449599.

Adding to 2226000042 its reverse (2400006222), we get a palindrome (4626006264).

The spelling of 2226000042 in words is "two billion, two hundred twenty-six million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 5103 10206 218107 436214 654321 1308642 1526749 1962963 3053498 3925926 4580247 5888889 9160494 11777778 13740741 17666667 27481482 35333334 41222223 53000001 82444446 106000002 123666669 159000003 247333338 318000006 371000007 742000014 1113000021 2226000042