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23213312000 = 2115390677
BaseRepresentation
bin10101100111100111…
…110000100000000000
32012220202221102122022
4111213213300200000
5340020101441000
614355233501012
71451150616314
oct254747604000
965822842568
1023213312000
11993234497a
1245ba111768
13225c327698
1411a2d77b44
1590cde8585
hex5679f0800

23213312000 has 96 divisors (see below), whose sum is σ = 57926919960. Its totient is φ = 9285222400.

The previous prime is 23213311999. The next prime is 23213312041. The reversal of 23213312000 is 21331232.

It can be written as a sum of positive squares in 4 ways, for example, as 1347183616 + 21866128384 = 36704^2 + 147872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23213312000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210662 + ... + 301338.

Almost surely, 223213312000 is an apocalyptic number.

23213312000 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 23213312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28963459980).

23213312000 is an abundant number, since it is smaller than the sum of its proper divisors (34713607960).

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

23213312000 is an frugal number, since it uses more digits than its factorization.

23213312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90714 (or 90684 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23213312000 its reverse (21331232), we get a palindrome (23234643232).

The spelling of 23213312000 in words is "twenty-three billion, two hundred thirteen million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 5120 6400 8000 10240 12800 16000 25600 32000 51200 64000 90677 128000 181354 256000 362708 453385 725416 906770 1450832 1813540 2266925 2901664 3627080 4533850 5803328 7254160 9067700 11334625 11606656 14508320 18135400 22669250 23213312 29016640 36270800 45338500 46426624 58033280 72541600 90677000 92853248 116066560 145083200 181354000 185706496 232133120 290166400 362708000 464266240 580332800 725416000 928532480 1160665600 1450832000 2321331200 2901664000 4642662400 5803328000 11606656000 23213312000