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2368199340 = 22325134761353
BaseRepresentation
bin1000110100100111…
…1101101010101100
320010001011222202200
42031021331222230
514322224334330
61030554421500
7112454235153
oct21511755254
96101158680
102368199340
111005872241
12561131890
132b98331b0
1418674259a
15dcd93a60
hex8d27daac

2368199340 has 288 divisors, whose sum is σ = 8052984576. Its totient is φ = 559595520.

The previous prime is 2368199303. The next prime is 2368199341. The reversal of 2368199340 is 439918632.

It is a happy number.

It is a super-2 number, since 2×23681993402 = 11216736227952871200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2368199341) 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 95 ways as a sum of consecutive naturals, for example, 6708604 + ... + 6708956.

It is an arithmetic number, because the mean of its divisors is an integer number (27961752).

Almost surely, 22368199340 is an apocalyptic number.

2368199340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2368199340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026492288).

2368199340 is an abundant number, since it is smaller than the sum of its proper divisors (5684785236).

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

2368199340 is a wasteful number, since it uses less digits than its factorization.

2368199340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2368199340 is about 48664.1484051658. The cubic root of 2368199340 is about 1332.9261407972.

The spelling of 2368199340 in words is "two billion, three hundred sixty-eight million, one hundred ninety-nine thousand, three hundred forty".