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2230497144 = 2332235113177
BaseRepresentation
bin1000010011110010…
…1010111101111000
312202110001222212100
42010330222331320
514032001402034
61005155143400
7106162625061
oct20474527570
95673058770
102230497144
11a4506a577
12522ba4b60
1329714b9c5
14172339568
15d0c43099
hex84f2af78

2230497144 has 48 divisors (see below), whose sum is σ = 6043957920. Its totient is φ = 743126400.

The previous prime is 2230497133. The next prime is 2230497149. The reversal of 2230497144 is 4417940322.

2230497144 is a `hidden beast` number, since 2 + 23 + 0 + 497 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2230497099 and 2230497108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230497149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162684 + ... + 175860.

It is an arithmetic number, because the mean of its divisors is an integer number (125915790).

Almost surely, 22230497144 is an apocalyptic number.

2230497144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2230497144 is an abundant number, since it is smaller than the sum of its proper divisors (3813460776).

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

2230497144 is a wasteful number, since it uses less digits than its factorization.

2230497144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 15533 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2230497144 is about 47228.1393239242. The cubic root of 2230497144 is about 1306.5736352040.

The spelling of 2230497144 in words is "two billion, two hundred thirty million, four hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2351 4702 7053 9404 13177 14106 18808 21159 26354 28212 39531 42318 52708 56424 79062 84636 105416 118593 158124 169272 237186 316248 474372 948744 30979127 61958254 92937381 123916508 185874762 247833016 278812143 371749524 557624286 743499048 1115248572 2230497144