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2322413334324 = 223264511481509
BaseRepresentation
bin100001110010111010100…
…111110010111100110100
322020000112222102020021200
4201302322213302330310
5301022300303144244
64534522453412500
7326534365425426
oct41627247627464
98200488366250
102322413334324
11815a25866986
1231612363a130
1313b005a44985
1480596608816
1540628214669
hex21cba9f2f34

2322413334324 has 18 divisors (see below), whose sum is σ = 5870544817410. Its totient is φ = 774137778096.

The previous prime is 2322413334257. The next prime is 2322413334341. The reversal of 2322413334324 is 4234333142232.

2322413334324 is a `hidden beast` number, since 2 + 32 + 241 + 33 + 34 + 324 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2306692688400 + 15720645924 = 1518780^2 + 125382^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 64511481509 = 2322413334324 / (2 + 3 + 2 + 2 + 4 + 1 + 3 + 3 + 3 + 4 + 3 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32255740719 + ... + 32255740790.

It is an arithmetic number, because the mean of its divisors is an integer number (326141378745).

Almost surely, 22322413334324 is an apocalyptic number.

It is an amenable number.

2322413334324 is an abundant number, since it is smaller than the sum of its proper divisors (3548131483086).

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

2322413334324 is a wasteful number, since it uses less digits than its factorization.

2322413334324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64511481519 (or 64511481514 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 2322413334324 its reverse (4234333142232), we get a palindrome (6556746476556).

The spelling of 2322413334324 in words is "two trillion, three hundred twenty-two billion, four hundred thirteen million, three hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 64511481509 129022963018 193534444527 258045926036 387068889054 580603333581 774137778108 1161206667162 2322413334324