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20022202222220 = 225111571231470903
BaseRepresentation
bin1001000110101110010000…
…10000000100011010001100
32121220002210200212020212102
410203113020100010122030
510111020432232102340
6110330023412454232
74134361556551502
oct443271020043214
977802720766772
1020022202222220
11641a4061a4220
1222b452b01a378
13b23115cba633
144d3118bdc672
1524ac5410c215
hex1235c840468c

20022202222220 has 96 divisors (see below), whose sum is σ = 46198801668096. Its totient is φ = 7228534060800.

The previous prime is 20022202222213. The next prime is 20022202222229. The reversal of 20022202222220 is 2222220222002.

It is a super-4 number, since 4×200222022222204 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20022202222192 and 20022202222201.

It is not an unprimeable number, because it can be changed into a prime (20022202222229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42283289 + ... + 42754191.

It is an arithmetic number, because the mean of its divisors is an integer number (481237517376).

Almost surely, 220022202222220 is an apocalyptic number.

20022202222220 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 20022202222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23099400834048).

20022202222220 is an abundant number, since it is smaller than the sum of its proper divisors (26176599445876).

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

20022202222220 is a wasteful number, since it uses less digits than its factorization.

20022202222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472311 (or 472309 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20022202222220 its reverse (2222220222002), we get a palindrome (22244422444222).

The spelling of 20022202222220 in words is "twenty trillion, twenty-two billion, two hundred two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1231 1570 1727 2462 3140 3454 4924 6155 6908 8635 12310 13541 17270 24620 27082 34540 54164 67705 135410 193267 270820 386534 470903 773068 941806 966335 1883612 1932670 2125937 2354515 3865340 4251874 4709030 5179933 8503748 9418060 10359866 10629685 20719732 21259370 25899665 42518740 51799330 73931771 103598660 147863542 295727084 369658855 579681593 739317710 813249481 1159363186 1478635420 1626498962 2318726372 2898407965 3252997924 4066247405 5796815930 6376497523 8132494810 11593631860 12752995046 16264989620 25505990092 31882487615 63764975230 91010010101 127529950460 182020020202 364040040404 455050050505 910100101010 1001110111111 1820200202020 2002220222222 4004440444444 5005550555555 10011101111110 20022202222220