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2298200224 = 25418292113
BaseRepresentation
bin1000100011111011…
…1100000010100000
312221011110200000211
42020332330002200
514201314401344
61020014223504
7110644244125
oct21076740240
95834420024
102298200224
11a7a301931
125417b4b94
132a8194bb8
1417b32074c
15d6b68334
hex88fbc0a0

2298200224 has 48 divisors (see below), whose sum is σ = 4642724520. Its totient is φ = 1119191040.

The previous prime is 2298200209. The next prime is 2298200237. The reversal of 2298200224 is 4220028922.

It can be written as a sum of positive squares in 4 ways, for example, as 641710224 + 1656490000 = 25332^2 + 40700^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1086592 + ... + 1088704.

Almost surely, 22298200224 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 2298200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321362260).

2298200224 is an abundant number, since it is smaller than the sum of its proper divisors (2344524296).

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

2298200224 is a wasteful number, since it uses less digits than its factorization.

2298200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2298200224 is about 47939.5475990335. The cubic root of 2298200224 is about 1319.6617253782.

The spelling of 2298200224 in words is "two billion, two hundred ninety-eight million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 829 1312 1658 2113 3316 4226 6632 8452 13264 16904 26528 33808 33989 67616 67978 86633 135956 173266 271912 346532 543824 693064 1087648 1386128 1751677 2772256 3503354 7006708 14013416 28026832 56053664 71818757 143637514 287275028 574550056 1149100112 2298200224