Search a number
-
+
2298725728 = 251319328631
BaseRepresentation
bin1000100100000011…
…1100010101100000
312221012110100212221
42021000330111200
514201433210403
61020033400424
7110651563165
oct21100742540
95835410787
102298725728
11a7a630732
12541a09114
132a831a150
1417b41a06c
15d6c1ddbd
hex8903c560

2298725728 has 48 divisors (see below), whose sum is σ = 4899164256. Its totient is φ = 1055416320.

The previous prime is 2298725717. The next prime is 2298725747. The reversal of 2298725728 is 8275278922.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 65973 + ... + 94603.

It is an arithmetic number, because the mean of its divisors is an integer number (102065922).

Almost surely, 22298725728 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 2298725728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449582128).

2298725728 is an abundant number, since it is smaller than the sum of its proper divisors (2600438528).

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

2298725728 is a wasteful number, since it uses less digits than its factorization.

2298725728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28847 (or 28839 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The square root of 2298725728 is about 47945.0281885411. The cubic root of 2298725728 is about 1319.7623018579.

The spelling of 2298725728 in words is "two billion, two hundred ninety-eight million, seven hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 193 208 386 416 772 1544 2509 3088 5018 6176 10036 20072 28631 40144 57262 80288 114524 229048 372203 458096 744406 916192 1488812 2977624 5525783 5955248 11051566 11910496 22103132 44206264 71835179 88412528 143670358 176825056 287340716 574681432 1149362864 2298725728