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23204240192 = 267731375179
BaseRepresentation
bin10101100111000101…
…001001101101000000
32012220010212112110102
4111213011021231000
5340010241141232
614354311221532
71451010534020
oct254705115500
965803775412
1023204240192
119928209111
1245b70778a8
13225a49c453
1411a1a95a80
1590c205662
hex567149b40

23204240192 has 112 divisors (see below), whose sum is σ = 53744530560. Its totient is φ = 9734971392.

The previous prime is 23204240183. The next prime is 23204240201. The reversal of 23204240192 is 29104240232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23204240183) and next prime (23204240201).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 4477859 + ... + 4483037.

It is an arithmetic number, because the mean of its divisors is an integer number (479861880).

Almost surely, 223204240192 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 23204240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26872265280).

23204240192 is an abundant number, since it is smaller than the sum of its proper divisors (30540290368).

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

23204240192 is a wasteful number, since it uses less digits than its factorization.

23204240192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 23204240192 in words is "twenty-three billion, two hundred four million, two hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 137 146 224 274 292 448 511 548 584 959 1022 1096 1168 1918 2044 2192 2336 3836 4088 4384 4672 5179 7672 8176 8768 10001 10358 15344 16352 20002 20716 30688 32704 36253 40004 41432 61376 70007 72506 80008 82864 140014 145012 160016 165728 280028 290024 320032 331456 378067 560056 580048 640064 709523 756134 1120112 1160096 1419046 1512268 2240224 2320192 2646469 2838092 3024536 4480448 4966661 5292938 5676184 6049072 9933322 10585876 11352368 12098144 19866644 21171752 22704736 24196288 39733288 42343504 45409472 51795179 79466576 84687008 103590358 158933152 169374016 207180716 317866304 362566253 414361432 725132506 828722864 1450265012 1657445728 2900530024 3314891456 5801060048 11602120096 23204240192