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2298818816 = 28719107631
BaseRepresentation
bin1000100100000101…
…0011000100000000
312221012122002120122
42021001103010000
514201444200231
61020035355412
7110652431450
oct21101230400
95835562518
102298818816
11a7a694668
12541a52b68
132a8350628
1417b441d60
15d6c3b77b
hex89053100

2298818816 has 144 divisors (see below), whose sum is σ = 5580610560. Its totient is φ = 923166720.

The previous prime is 2298818813. The next prime is 2298818831. The reversal of 2298818816 is 6188188922.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2298818813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3642821 + ... + 3643451.

It is an arithmetic number, because the mean of its divisors is an integer number (38754240).

Almost surely, 22298818816 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 2298818816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790305280).

2298818816 is an abundant number, since it is smaller than the sum of its proper divisors (3281791744).

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

2298818816 is a wasteful number, since it uses less digits than its factorization.

2298818816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its digits is 884736, while the sum is 53.

The square root of 2298818816 is about 47945.9989571601. The cubic root of 2298818816 is about 1319.7801164198.

The spelling of 2298818816 in words is "two billion, two hundred ninety-eight million, eight hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 107 112 128 133 152 214 224 256 266 304 428 448 532 608 631 749 856 896 1064 1216 1262 1498 1712 1792 2033 2128 2432 2524 2996 3424 4066 4256 4417 4864 5048 5992 6848 8132 8512 8834 10096 11984 11989 13696 14231 16264 17024 17668 20192 23968 23978 27392 28462 32528 34048 35336 40384 47936 47956 56924 65056 67517 70672 80768 83923 95872 95912 113848 130112 135034 141344 161536 167846 191744 191824 227696 260224 270068 282688 335692 383648 455392 472619 520448 540136 565376 671384 767296 910784 945238 1080272 1130752 1282823 1342768 1534592 1821568 1890476 2160544 2565646 2685536 3069184 3643136 3780952 4321088 5131292 5371072 7561904 8642176 8979761 10262584 10742144 15123808 17284352 17959522 20525168 21484288 30247616 35919044 41050336 60495232 71838088 82100672 120990464 143676176 164201344 287352352 328402688 574704704 1149409408 2298818816