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20222002222000 = 245315316604181
BaseRepresentation
bin1001001100100010011010…
…10000100101001110110000
32122121012112002210212122021
410212101031100211032300
510122304130032101000
6111001505400121224
74154664031540465
oct446211520451660
978535462725567
1020222002222000
116497115082287
1223271ab766214
13b38c07a52387
144dca704db66c
15251049c2711a
hex12644d4253b0

20222002222000 has 80 divisors (see below), whose sum is σ = 48928746600864. Its totient is φ = 8083516320000.

The previous prime is 20222002221991. The next prime is 20222002222043. The reversal of 20222002222000 is 22220022202.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240091 + ... + 6364090.

Almost surely, 220222002222000 is an apocalyptic number.

20222002222000 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 20222002222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24464373300432).

20222002222000 is an abundant number, since it is smaller than the sum of its proper divisors (28706744378864).

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

20222002222000 is a wasteful number, since it uses less digits than its factorization.

20222002222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605735 (or 6605719 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20222002222000 its reverse (22220022202), we get a palindrome (20244222244202).

The spelling of 20222002222000 in words is "twenty trillion, two hundred twenty-two billion, two million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1531 2000 3062 6124 7655 12248 15310 24496 30620 38275 61240 76550 122480 153100 191375 306200 382750 612400 765500 1531000 3062000 6604181 13208362 26416724 33020905 52833448 66041810 105666896 132083620 165104525 264167240 330209050 528334480 660418100 825522625 1320836200 1651045250 2641672400 3302090500 6604181000 10111001111 13208362000 20222002222 40444004444 50555005555 80888008888 101110011110 161776017776 202220022220 252775027775 404440044440 505550055550 808880088880 1011100111100 1263875138875 2022200222200 2527750277750 4044400444400 5055500555500 10111001111000 20222002222000