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2298400624 = 241336730109
BaseRepresentation
bin1000100011111110…
…1100111101110000
312221011211211221001
42020333230331300
514201342304444
61020022411344
7110646040312
oct21077547560
95834754831
102298400624
11a7a429453
12541890b54
132a8235190
1417b3737b2
15d6ba78d4
hex88fecf70

2298400624 has 40 divisors (see below), whose sum is σ = 4808928320. Its totient is φ = 1057874688.

The previous prime is 2298400619. The next prime is 2298400679. The reversal of 2298400624 is 4260048922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61282 + ... + 91390.

It is an arithmetic number, because the mean of its divisors is an integer number (120223208).

Almost surely, 22298400624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2298400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404464160).

2298400624 is an abundant number, since it is smaller than the sum of its proper divisors (2510527696).

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

2298400624 is a wasteful number, since it uses less digits than its factorization.

2298400624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30497 (or 30491 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2298400624 is about 47941.6376858363. The cubic root of 2298400624 is about 1319.7000818452.

The spelling of 2298400624 in words is "two billion, two hundred ninety-eight million, four hundred thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 367 734 1468 2936 4771 5872 9542 19084 30109 38168 60218 76336 120436 240872 391417 481744 782834 1565668 3131336 6262672 11050003 22100006 44200012 88400024 143650039 176800048 287300078 574600156 1149200312 2298400624