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2422913040 = 2433541109251
BaseRepresentation
bin1001000001101010…
…1011100000010000
320020212010201212000
42100122223200100
514430231204130
61040231234000
7114020264262
oct22032534020
96225121760
102422913040
111033742479
12577518900
132c7c7bc72
1418db05b32
15e2aa0260
hex906ab810

2422913040 has 320 divisors, whose sum is σ = 8661945600. Its totient is φ = 622080000.

The previous prime is 2422913023. The next prime is 2422913099. The reversal of 2422913040 is 403192242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2422912995 and 2422913013.

It is an unprimeable number.

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, 9652915 + ... + 9653165.

It is an arithmetic number, because the mean of its divisors is an integer number (27068580).

Almost surely, 22422913040 is an apocalyptic number.

2422913040 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 2422913040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330972800).

2422913040 is an abundant number, since it is smaller than the sum of its proper divisors (6239032560).

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

2422913040 is a wasteful number, since it uses less digits than its factorization.

2422913040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2422913040 is about 49223.0945796788. The cubic root of 2422913040 is about 1343.1131745318.

The spelling of 2422913040 in words is "two billion, four hundred twenty-two million, nine hundred thirteen thousand, forty".