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2299638816 = 253312492131
BaseRepresentation
bin1000100100010001…
…1011010000100000
312221021011202102000
42021010123100200
514202201420231
61020105124000
7110662415226
oct21104332040
95837152360
102299638816
11a800a4752
12542189600
132a8579937
1417b5b6b16
15d6d4e6e6
hex8911b420

2299638816 has 96 divisors (see below), whose sum is σ = 6715800000. Its totient is φ = 765573120.

The previous prime is 2299638797. The next prime is 2299638821. The reversal of 2299638816 is 6188369922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078071 + ... + 1080201.

It is an arithmetic number, because the mean of its divisors is an integer number (69956250).

Almost surely, 22299638816 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 2299638816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357900000).

2299638816 is an abundant number, since it is smaller than the sum of its proper divisors (4416161184).

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

2299638816 is a wasteful number, since it uses less digits than its factorization.

2299638816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399 (or 3385 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 2299638816 is about 47954.5494817749. The cubic root of 2299638816 is about 1319.9370217887.

The spelling of 2299638816 in words is "two billion, two hundred ninety-nine million, six hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1249 2131 2498 3747 4262 4996 6393 7494 8524 9992 11241 12786 14988 17048 19179 19984 22482 25572 29976 33723 34096 38358 39968 44964 51144 57537 59952 67446 68192 76716 89928 102288 115074 119904 134892 153432 179856 204576 230148 269784 306864 359712 460296 539568 613728 920592 1079136 1841184 2661619 5323238 7984857 10646476 15969714 21292952 23954571 31939428 42585904 47909142 63878856 71863713 85171808 95818284 127757712 143727426 191636568 255515424 287454852 383273136 574909704 766546272 1149819408 2299638816