Search a number
-
+
325199262240 = 25335157147917
BaseRepresentation
bin1001011101101110110…
…00101111001000100000
31011002101200210011222000
410232313120233020200
520312002002342430
6405221112444000
732331512056236
oct4566730571040
91132350704860
10325199262240
11115a09561a66
12530386a9600
1324887721678
1411a4db58956
1586d4ae1e60
hex4bb762f220

325199262240 has 192 divisors, whose sum is σ = 1138945691520. Its totient is φ = 86662794240.

The previous prime is 325199262221. The next prime is 325199262259. The reversal of 325199262240 is 42262991523.

325199262240 is a `hidden beast` number, since 3 + 2 + 5 + 19 + 9 + 2 + 622 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (325199262221) and next prime (325199262259).

It is a super-2 number, since 2×3251992622402 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6762762 + ... + 6810678.

It is an arithmetic number, because the mean of its divisors is an integer number (5932008810).

Almost surely, 2325199262240 is an apocalyptic number.

325199262240 is a gapful number since it is divisible by the number (30) 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 325199262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569472845760).

325199262240 is an abundant number, since it is smaller than the sum of its proper divisors (813746429280).

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

325199262240 is a wasteful number, since it uses less digits than its factorization.

325199262240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49512 (or 49498 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 325199262240 in words is "three hundred twenty-five billion, one hundred ninety-nine million, two hundred sixty-two thousand, two hundred forty".