Search a number
-
+
330224590248 = 2337219127116371
BaseRepresentation
bin1001100111000101110…
…10110101110110101000
31011120100220211022000120
410303202322311312220
520402244443341443
6411411511003240
732600162463300
oct4634272656650
91146326738016
10330224590248
11118058199303
1253bbb669520
13251a88aa837
1411da9330600
1588cad9d083
hex4ce2eb5da8

330224590248 has 192 divisors, whose sum is σ = 1018860134400. Its totient is φ = 88679525760.

The previous prime is 330224590237. The next prime is 330224590271. The reversal of 330224590248 is 842095422033.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2779503 + ... + 2895873.

It is an arithmetic number, because the mean of its divisors is an integer number (5306563200).

Almost surely, 2330224590248 is an apocalyptic number.

330224590248 is a gapful number since it is divisible by the number (38) 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 330224590248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509430067200).

330224590248 is an abundant number, since it is smaller than the sum of its proper divisors (688635544152).

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

330224590248 is a wasteful number, since it uses less digits than its factorization.

330224590248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116540 (or 116529 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 330224590248 in words is "three hundred thirty billion, two hundred twenty-four million, five hundred ninety thousand, two hundred forty-eight".