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220022023000 = 23531340994129
BaseRepresentation
bin1100110011101001010…
…1011010001101011000
3210000220201020211121211
43030322111122031120
512101101114214000
6245024323312504
721616231223623
oct3147225321530
9700821224554
10220022023000
118534677244a
1236784b1b734
1317995437c70
14a91329adba
155acb0e07ba
hex333a55a358

220022023000 has 128 divisors (see below), whose sum is σ = 554725080000. Its totient is φ = 81199411200.

The previous prime is 220022022991. The next prime is 220022023061. The reversal of 220022023000 is 320220022.

220022023000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53284936 + ... + 53289064.

Almost surely, 2220022023000 is an apocalyptic number.

220022023000 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 220022023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277362540000).

220022023000 is an abundant number, since it is smaller than the sum of its proper divisors (334703057000).

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

220022023000 is a wasteful number, since it uses less digits than its factorization.

220022023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 220022023000 its reverse (320220022), we get a palindrome (220342243022).

The spelling of 220022023000 in words is "two hundred twenty billion, twenty-two million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 4099 4129 6500 8198 8258 13000 16396 16516 20495 20645 32792 33032 40990 41290 53287 53677 81980 82580 102475 103225 106574 107354 163960 165160 204950 206450 213148 214708 266435 268385 409900 412900 426296 429416 512375 516125 532870 536770 819800 825800 1024750 1032250 1065740 1073540 1332175 1341925 2049500 2064500 2131480 2147080 2664350 2683850 4099000 4129000 5328700 5367700 6660875 6709625 10657400 10735400 13321750 13419250 16924771 26643500 26838500 33849542 53287000 53677000 67699084 84623855 135398168 169247710 220022023 338495420 423119275 440044046 676990840 846238550 880088092 1100110115 1692477100 1760176184 2115596375 2200220230 3384954200 4231192750 4400440460 5500550575 8462385500 8800880920 11001101150 16924771000 22002202300 27502752875 44004404600 55005505750 110011011500 220022023000