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23134304000 = 2853898123
BaseRepresentation
bin10101100010111010…
…010111011100000000
32012201021021102001002
4111202322113130000
5334334340212000
614343332231132
71446201224303
oct254272273400
965637242032
1023134304000
1198a1791005
12459776b4a8
132248b539a2
14119668cb3a
15905edd8d5
hex562e97700

23134304000 has 144 divisors (see below), whose sum is σ = 58285150560. Its totient is φ = 9148620800.

The previous prime is 23134303999. The next prime is 23134304003. The reversal of 23134304000 is 40343132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134304003) 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, 2843939 + ... + 2852061.

It is an arithmetic number, because the mean of its divisors is an integer number (404757990).

Almost surely, 223134304000 is an apocalyptic number.

23134304000 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 23134304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29142575280).

23134304000 is an abundant number, since it is smaller than the sum of its proper divisors (35150846560).

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

23134304000 is an frugal number, since it uses more digits than its factorization.

23134304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23134304000 its reverse (40343132), we get a palindrome (23174647132).

The spelling of 23134304000 in words is "twenty-three billion, one hundred thirty-four million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 125 128 160 178 200 250 256 320 356 400 445 500 640 712 800 890 1000 1280 1424 1600 1780 2000 2225 2848 3200 3560 4000 4450 5696 6400 7120 8000 8123 8900 11125 11392 14240 16000 16246 17800 22250 22784 28480 32000 32492 35600 40615 44500 56960 64984 71200 81230 89000 113920 129968 142400 162460 178000 203075 259936 284800 324920 356000 406150 519872 569600 649840 712000 722947 812300 1015375 1039744 1299680 1424000 1445894 1624600 2030750 2079488 2599360 2848000 2891788 3249200 3614735 4061500 5198720 5783576 6498400 7229470 8123000 10397440 11567152 12996800 14458940 16246000 18073675 23134304 25993600 28917880 32492000 36147350 46268608 51987200 57835760 64984000 72294700 90368375 92537216 115671520 129968000 144589400 180736750 185074432 231343040 259936000 289178800 361473500 462686080 578357600 722947000 925372160 1156715200 1445894000 2313430400 2891788000 4626860800 5783576000 11567152000 23134304000