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2303233120 = 25547615021
BaseRepresentation
bin1000100101001000…
…1000110001100000
312221111221100212101
42021102020301200
514204111424440
61020314140144
7111035105236
oct21122106140
95844840771
102303233120
11a8212a151
12543421654
132a9237946
1417bc70956
15d730e69a
hex89488c60

2303233120 has 96 divisors (see below), whose sum is σ = 5649388416. Its totient is φ = 886732800.

The previous prime is 2303233109. The next prime is 2303233129. The reversal of 2303233120 is 213323032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303233129) 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, 456210 + ... + 461230.

It is an arithmetic number, because the mean of its divisors is an integer number (58847796).

Almost surely, 22303233120 is an apocalyptic number.

2303233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824694208).

2303233120 is an abundant number, since it is smaller than the sum of its proper divisors (3346155296).

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

2303233120 is a wasteful number, since it uses less digits than its factorization.

2303233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 2303233120 is about 47992.0110018324. The cubic root of 2303233120 is about 1320.6243449882.

Adding to 2303233120 its reverse (213323032), we get a palindrome (2516556152).

The spelling of 2303233120 in words is "two billion, three hundred three million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 61 80 94 122 160 188 235 244 305 376 470 488 610 752 940 976 1220 1504 1880 1952 2440 2867 3760 4880 5021 5734 7520 9760 10042 11468 14335 20084 22936 25105 28670 40168 45872 50210 57340 80336 91744 100420 114680 160672 200840 229360 235987 306281 401680 458720 471974 612562 803360 943948 1179935 1225124 1531405 1887896 2359870 2450248 3062810 3775792 4719740 4900496 6125620 7551584 9439480 9800992 12251240 14395207 18878960 24502480 28790414 37757920 49004960 57580828 71976035 115161656 143952070 230323312 287904140 460646624 575808280 1151616560 2303233120