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2246624040 = 233518721867
BaseRepresentation
bin1000010111101000…
…1100001100101000
312210120102022210210
42011322030030220
514100113432130
61010532541120
7106446663213
oct20572141450
95716368723
102246624040
11a53184991
125284817a0
1329a5a724b
1417453677a
15d237b5b0
hex85e8c328

2246624040 has 32 divisors (see below), whose sum is σ = 6739872480. Its totient is φ = 599099712.

The previous prime is 2246624021. The next prime is 2246624059. The reversal of 2246624040 is 404266422.

It is an interprime number because it is at equal distance from previous prime (2246624021) and next prime (2246624059).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2246623989 and 2246624007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9360814 + ... + 9361053.

It is an arithmetic number, because the mean of its divisors is an integer number (210621015).

Almost surely, 22246624040 is an apocalyptic number.

2246624040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2246624040 is an abundant number, since it is smaller than the sum of its proper divisors (4493248440).

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

2246624040 is a wasteful number, since it uses less digits than its factorization.

2246624040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18721881 (or 18721877 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2246624040 is about 47398.5658010873. The cubic root of 2246624040 is about 1309.7149973395.

The spelling of 2246624040 in words is "two billion, two hundred forty-six million, six hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18721867 37443734 56165601 74887468 93609335 112331202 149774936 187218670 224662404 280828005 374437340 449324808 561656010 748874680 1123312020 2246624040