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23222442000 = 2435317227671
BaseRepresentation
bin10101101000001010…
…100101100000010000
32012221102010021122110
4111220022211200100
5340024421121000
614400201305320
71451321333352
oct255012454020
965842107573
1023222442000
11993751042a
124601195240
1322611a3254
1411a42730d2
1590daed850
hex5682a5810

23222442000 has 160 divisors (see below), whose sum is σ = 79273569024. Its totient is φ = 5828352000.

The previous prime is 23222441981. The next prime is 23222442049. The reversal of 23222442000 is 24422232.

It is a super-3 number, since 3×232224420003 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11836 + ... + 215835.

Almost surely, 223222442000 is an apocalyptic number.

23222442000 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 23222442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39636784512).

23222442000 is an abundant number, since it is smaller than the sum of its proper divisors (56051127024).

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

23222442000 is a wasteful number, since it uses less digits than its factorization.

23222442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227714 (or 227698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 23222442000 its reverse (24422232), we get a palindrome (23246864232).

The spelling of 23222442000 in words is "twenty-three billion, two hundred twenty-two million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000 227671 455342 683013 910684 1138355 1366026 1821368 2276710 2732052 3415065 3642736 3870407 4553420 5464104 5691775 6830130 7740814 9106840 10928208 11383550 11611221 13660260 15481628 17075325 18213680 19352035 22767100 23222442 27320520 28458875 30963256 34150650 38704070 45534200 46444884 54641040 56917750 58056105 61926512 68301300 77408140 85376625 91068400 92889768 96760175 113835500 116112210 136602600 154816280 170753250 185779536 193520350 227671000 232224420 273205200 290280525 309632560 341506500 387040700 455342000 464448840 483800875 580561050 683013000 774081400 928897680 967601750 1161122100 1366026000 1451402625 1548162800 1935203500 2322244200 2902805250 3870407000 4644488400 5805610500 7740814000 11611221000 23222442000