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2262256146 = 232373396781
BaseRepresentation
bin1000011011010111…
…0100101000010010
312211122211112000200
42012311310220102
514113114144041
61012252000030
7110026600653
oct20665645022
95748745020
102262256146
11a60a91587
12531760016
132a08bb507
1417664552a
15d39181b6
hex86d74a12

2262256146 has 24 divisors (see below), whose sum is σ = 5034030924. Its totient is φ = 733704480.

The previous prime is 2262256133. The next prime is 2262256151. The reversal of 2262256146 is 6416522622.

2262256146 is a `hidden beast` number, since 2 + 262 + 256 + 146 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2138045121 + 124211025 = 46239^2 + 11145^2 .

It is a super-3 number, since 3×22622561463 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2262256146.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1697725 + ... + 1699056.

Almost surely, 22262256146 is an apocalyptic number.

2262256146 is an abundant number, since it is smaller than the sum of its proper divisors (2771774778).

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

2262256146 is a wasteful number, since it uses less digits than its factorization.

2262256146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396826 (or 3396823 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2262256146 is about 47563.1805706893. The cubic root of 2262256146 is about 1312.7456632947.

Adding to 2262256146 its reverse (6416522622), we get a palindrome (8678778768).

The spelling of 2262256146 in words is "two billion, two hundred sixty-two million, two hundred fifty-six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3396781 6793562 10190343 20380686 30571029 61142058 125680897 251361794 377042691 754085382 1131128073 2262256146