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222020113120 = 2551328210803
BaseRepresentation
bin1100111011000101101…
…1100001001011100000
3210020001222000022222121
43032301123201023200
512114144122104440
6245554501314024
722016602552351
oct3166133411340
9706058008877
10222020113120
11861816250a3
1237042105914
1317c23393c00
14aa627b9d28
155b9672734a
hex33b16e12e0

222020113120 has 72 divisors (see below), whose sum is σ = 567974155896. Its totient is φ = 81976647168.

The previous prime is 222020113111. The next prime is 222020113121. The reversal of 222020113120 is 21311020222.

It is a happy number.

It is a super-2 number, since 2×2220201131202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 222020113094 and 222020113103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222020113121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4078362 + ... + 4132441.

It is an arithmetic number, because the mean of its divisors is an integer number (7888529943).

Almost surely, 2222020113120 is an apocalyptic number.

222020113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222020113120 is an abundant number, since it is smaller than the sum of its proper divisors (345954042776).

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

222020113120 is a wasteful number, since it uses less digits than its factorization.

222020113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210844 (or 8210823 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 222020113120 its reverse (21311020222), we get a palindrome (243331133342).

The spelling of 222020113120 in words is "two hundred twenty-two billion, twenty million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 5408 6760 13520 27040 8210803 16421606 32843212 41054015 65686424 82108030 106740439 131372848 164216060 213480878 262745696 328432120 426961756 533702195 656864240 853923512 1067404390 1313728480 1387625707 1707847024 2134808780 2775251414 3415694048 4269617560 5550502828 6938128535 8539235120 11101005656 13876257070 17078470240 22202011312 27752514140 44404022624 55505028280 111010056560 222020113120