Search a number
-
+
1364222640 = 24351129103173
BaseRepresentation
bin101000101010000…
…0110001010110000
310112002000200122110
41101110012022300
510243220111030
6343212005320
745543462324
oct12124061260
93462020573
101364222640
11640082730
12320a60840
13189832c41
14cd27b984
157eb791b0
hex515062b0

1364222640 has 320 divisors, whose sum is σ = 4846832640. Its totient is φ = 314388480.

The previous prime is 1364222627. The next prime is 1364222641. The reversal of 1364222640 is 462224631.

It is a super-2 number, since 2×13642226402 = 3722206822977139200, which contains 22 as substring.

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 = 1364222598 and 1364222607.

It is not an unprimeable number, because it can be changed into a prime (1364222641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7885594 + ... + 7885766.

It is an arithmetic number, because the mean of its divisors is an integer number (15146352).

Almost surely, 21364222640 is an apocalyptic number.

1364222640 is a gapful number since it is divisible by the number (10) 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 1364222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423416320).

1364222640 is an abundant number, since it is smaller than the sum of its proper divisors (3482610000).

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

1364222640 is a wasteful number, since it uses less digits than its factorization.

1364222640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1364222640 is about 36935.3846602415. The cubic root of 1364222640 is about 1109.0771324504.

The spelling of 1364222640 in words is "one billion, three hundred sixty-four million, two hundred twenty-two thousand, six hundred forty".