Search a number
-
+
22023120201000 = 2335310667688201
BaseRepresentation
bin1010000000111101010000…
…10000011010010100101000
32212222101112010001020222120
411000132220100122110220
510341311322232413000
6114501140505151240
74432055310005532
oct500365020322450
985871463036876
1022023120201000
117020a53237056
12257828a48b520
13c39a047a17c9
14561cd3568852
15282d129b86a0
hex1407a841a528

22023120201000 has 128 divisors (see below), whose sum is σ = 68718676440960. Its totient is φ = 5872272960000.

The previous prime is 22023120200953. The next prime is 22023120201091. The reversal of 22023120201000 is 10202132022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 31656900 + ... + 32345100.

It is an arithmetic number, because the mean of its divisors is an integer number (536864659695).

Almost surely, 222023120201000 is an apocalyptic number.

22023120201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22023120201000 is an abundant number, since it is smaller than the sum of its proper divisors (46695556239960).

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

22023120201000 is a wasteful number, since it uses less digits than its factorization.

22023120201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698892 (or 698878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 22023120201000 its reverse (10202132022), we get a palindrome (22033322333022).

The spelling of 22023120201000 in words is "twenty-two trillion, twenty-three billion, one hundred twenty million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 10667 21334 32001 42668 53335 64002 85336 106670 128004 160005 213340 256008 266675 320010 426680 533350 640020 688201 800025 1066700 1280040 1333375 1376402 1600050 2064603 2133400 2666750 2752804 3200100 3441005 4000125 4129206 5333500 5505608 6400200 6882010 8000250 8258412 10323015 10667000 13764020 16000500 16516824 17205025 20646030 27528040 32001000 34410050 41292060 51615075 68820100 82584120 86025125 103230150 137640200 172050250 206460300 258075375 344100500 412920600 516150750 688201000 1032301500 2064603000 7341040067 14682080134 22023120201 29364160268 36705200335 44046240402 58728320536 73410400670 88092480804 110115601005 146820801340 176184961608 183526001675 220231202010 293641602680 367052003350 440462404020 550578005025 734104006700 880924808040 917630008375 1101156010050 1468208013400 1835260016750 2202312020100 2752890025125 3670520033500 4404624040200 5505780050250 7341040067000 11011560100500 22023120201000