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23384084820 = 223523167101467
BaseRepresentation
bin10101110001110011…
…001101000101010100
32020100200021120220120
4111301303031011110
5340342311203240
614424214031540
71455323304255
oct256163150524
966320246816
1023384084820
119a0a785038
1246473485b0
13228881a6a5
1411bb90cb2c
1591cdccad0
hex571ccd154

23384084820 has 96 divisors (see below), whose sum is σ = 68731987968. Its totient is φ = 5928861312.

The previous prime is 23384084819. The next prime is 23384084821. The reversal of 23384084820 is 2848048332.

It is an interprime number because it is at equal distance from previous prime (23384084819) and next prime (23384084821).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23384084821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179727 + ... + 281193.

It is an arithmetic number, because the mean of its divisors is an integer number (715958208).

Almost surely, 223384084820 is an apocalyptic number.

23384084820 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 23384084820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34365993984).

23384084820 is an abundant number, since it is smaller than the sum of its proper divisors (45347903148).

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

23384084820 is a wasteful number, since it uses less digits than its factorization.

23384084820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101669 (or 101667 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 23384084820 in words is "twenty-three billion, three hundred eighty-four million, eighty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 167 230 276 334 345 460 501 668 690 835 1002 1380 1670 2004 2505 3340 3841 5010 7682 10020 11523 15364 19205 23046 38410 46092 57615 76820 101467 115230 202934 230460 304401 405868 507335 608802 1014670 1217604 1522005 2029340 2333741 3044010 4667482 6088020 7001223 9334964 11668705 14002446 16944989 23337410 28004892 33889978 35006115 46674820 50834967 67779956 70012230 84724945 101669934 140024460 169449890 203339868 254174835 338899780 389734747 508349670 779469494 1016699340 1169204241 1558938988 1948673735 2338408482 3897347470 4676816964 5846021205 7794694940 11692042410 23384084820