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220222000220220 = 223251251197790389
BaseRepresentation
bin110010000100101001101110…
…000110000100100000111100
31001212202000110211200020021200
4302010221232012010200330
5212331104124024021340
62100212331254455500
764246341314150235
oct6204515606044074
91055660424606250
10220222000220220
1164195697a48669
12208485ba364590
1395b5acb79006b
143c54b31b6008c
151a6d72da1d330
hexc84a6e18483c

220222000220220 has 72 divisors (see below), whose sum is σ = 668060134385280. Its totient is φ = 58721172186240.

The previous prime is 220222000220141. The next prime is 220222000220249. The reversal of 220222000220220 is 22022000222022.

220222000220220 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 220 + 0 + 0 + 220 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220222000220193 and 220222000220202.

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 23 ways as a sum of consecutive naturals, for example, 46643215 + ... + 51147174.

Almost surely, 2220222000220220 is an apocalyptic number.

220222000220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222000220220 is an abundant number, since it is smaller than the sum of its proper divisors (447838134165060).

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

220222000220220 is a wasteful number, since it uses less digits than its factorization.

220222000220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97802915 (or 97802910 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 220222000220220 its reverse (22022000222022), we get a palindrome (242244000442242).

The spelling of 220222000220220 in words is "two hundred twenty trillion, two hundred twenty-two billion, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12511 25022 37533 50044 62555 75066 112599 125110 150132 187665 225198 250220 375330 450396 562995 750660 1125990 2251980 97790389 195580778 293371167 391161556 488951945 586742334 880113501 977903890 1173484668 1466855835 1760227002 1955807780 2933711670 3520454004 4400567505 5867423340 8801135010 17602270020 1223455556779 2446911113558 3670366670337 4893822227116 6117277783895 7340733340674 11011100011011 12234555567790 14681466681348 18351833351685 22022200022022 24469111135580 36703666703370 44044400044044 55055500055055 73407333406740 110111000110110 220222000220220