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2246147460 = 2232512478597
BaseRepresentation
bin1000010111100001…
…0111110110000100
312210112112010001200
42011320113312010
514100003204320
61010514422500
7106442636604
oct20570276604
95715463050
102246147460
11a52989917
12528291a30
1329a46b34b
14174450c04
15d22d5290
hex85e17d84

2246147460 has 36 divisors (see below), whose sum is σ = 6813314508. Its totient is φ = 598972608.

The previous prime is 2246147401. The next prime is 2246147467. The reversal of 2246147460 is 647416422.

It can be written as a sum of positive squares in 2 ways, for example, as 310323456 + 1935824004 = 17616^2 + 43998^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (2246147467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6239119 + ... + 6239478.

Almost surely, 22246147460 is an apocalyptic number.

2246147460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246147460 is an abundant number, since it is smaller than the sum of its proper divisors (4567167048).

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

2246147460 is a wasteful number, since it uses less digits than its factorization.

2246147460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478612 (or 12478607 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2246147460 is about 47393.5381671384. The cubic root of 2246147460 is about 1309.6223801349.

The spelling of 2246147460 in words is "two billion, two hundred forty-six million, one hundred forty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12478597 24957194 37435791 49914388 62392985 74871582 112307373 124785970 149743164 187178955 224614746 249571940 374357910 449229492 561536865 748715820 1123073730 2246147460