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22022222000 = 245359186629
BaseRepresentation
bin10100100000101000…
…000111000010110000
32002211202200210022212
4110200220013002300
5330100142101000
614041124351252
71406505540602
oct244050070260
962752623285
1022022222000
119380a74379
124327245528
1320cc6328bc
1410ccac7172
1588d56cc35
hex520a070b0

22022222000 has 80 divisors (see below), whose sum is σ = 54152560800. Its totient is φ = 8659539200.

The previous prime is 22022221987. The next prime is 22022222017. The reversal of 22022222000 is 22222022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24686 + ... + 211314.

It is an arithmetic number, because the mean of its divisors is an integer number (676907010).

Almost surely, 222022222000 is an apocalyptic number.

22022222000 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 22022222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27076280400).

22022222000 is an abundant number, since it is smaller than the sum of its proper divisors (32130338800).

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

22022222000 is a wasteful number, since it uses less digits than its factorization.

22022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186711 (or 186695 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 22022222000 its reverse (22222022), we get a palindrome (22044444022).

The spelling of 22022222000 in words is "twenty-two billion, twenty-two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 11800 14750 23600 29500 59000 118000 186629 373258 746516 933145 1493032 1866290 2986064 3732580 4665725 7465160 9331450 11011111 14930320 18662900 22022222 23328625 37325800 44044444 46657250 55055555 74651600 88088888 93314500 110111110 176177776 186629000 220222220 275277775 373258000 440444440 550555550 880888880 1101111100 1376388875 2202222200 2752777750 4404444400 5505555500 11011111000 22022222000