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2220221133020 = 2251197610117053
BaseRepresentation
bin100000010011101111011…
…111011111000011011100
321212020210000202112012002
4200103233133133003130
5242334003102224040
64415542220101432
7316256102151452
oct40235737370334
97766700675162
102220221133020
11786654a48570
122ba363694878
1313149b0044c7
147966037a9d2
153cb467eda15
hex204ef7df0dc

2220221133020 has 96 divisors (see below), whose sum is σ = 5139904787136. Its totient is φ = 798852096000.

The previous prime is 2220221132981. The next prime is 2220221133029. The reversal of 2220221133020 is 203311220222.

It is a happy number.

It is a super-2 number, since 2×22202211330202 (a number of 25 digits) contains 22 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 = 2220221132983 and 2220221133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220221133029) 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, 130186814 + ... + 130203866.

It is an arithmetic number, because the mean of its divisors is an integer number (53540674866).

Almost surely, 22220221133020 is an apocalyptic number.

2220221133020 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 2220221133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569952393568).

2220221133020 is an abundant number, since it is smaller than the sum of its proper divisors (2919683654116).

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

2220221133020 is a wasteful number, since it uses less digits than its factorization.

2220221133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23271 (or 23269 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2220221133020 its reverse (203311220222), we get a palindrome (2423532353242).

The spelling of 2220221133020 in words is "two trillion, two hundred twenty billion, two hundred twenty-one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 6101 10670 12202 17053 21340 24404 30505 34106 61010 67111 68212 85265 122020 134222 170530 187583 268444 335555 341060 375166 591797 671110 750332 937915 1183594 1342220 1654141 1875830 2367188 2958985 3308282 3751660 5917970 6509767 6616564 8270705 11835940 13019534 16541410 18195551 26039068 32548835 33082820 36391102 65097670 72782204 90977755 104040353 130195340 181955510 208080706 363911020 416161412 520201765 1040403530 1144443883 2080807060 2288887766 4577775532 5722219415 10091914241 11444438830 20183828482 22888877660 40367656964 50459571205 100919142410 111011056651 201838284820 222022113302 444044226604 555055283255 1110110566510 2220221133020