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220112220020 = 225711661216233
BaseRepresentation
bin1100110011111110110…
…1011110111101110100
3210001010222222022200012
43030333231132331310
512101242212020040
6245041304435352
721621404666660
oct3147755367564
9701128868605
10220112220020
1185392678840
12367ab178b58
13179ab028794
14a9212598a0
155ad3eaa865
hex333fb5ef74

220112220020 has 96 divisors (see below), whose sum is σ = 577168333056. Its totient is φ = 68502297600.

The previous prime is 220112220001. The next prime is 220112220061. The reversal of 220112220020 is 20022211022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 220112219977 and 220112220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909824 + ... + 1126056.

It is an arithmetic number, because the mean of its divisors is an integer number (6012170136).

Almost surely, 2220112220020 is an apocalyptic number.

220112220020 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 220112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288584166528).

220112220020 is an abundant number, since it is smaller than the sum of its proper divisors (357056113036).

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

220112220020 is a wasteful number, since it uses less digits than its factorization.

220112220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216921 (or 216919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220112220020 its reverse (20022211022), we get a palindrome (240134431042).

It can be divided in two parts, 2201 and 12220020, that added together give a palindrome (12222221).

The spelling of 220112220020 in words is "two hundred twenty billion, one hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 661 770 1322 1540 2644 3305 4627 6610 7271 9254 13220 14542 18508 23135 29084 36355 46270 50897 72710 92540 101794 145420 203588 216233 254485 432466 508970 864932 1017940 1081165 1513631 2162330 2378563 3027262 4324660 4757126 6054524 7568155 9514252 11892815 15136310 16649941 23785630 30272620 33299882 47571260 66599764 83249705 142930013 166499410 285860026 332998820 571720052 714650065 1000510091 1429300130 1572230143 2001020182 2858600260 3144460286 4002040364 5002550455 6288920572 7861150715 10005100910 11005611001 15722301430 20010201820 22011222002 31444602860 44022444004 55028055005 110056110010 220112220020