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2220200003120 = 2451119891126839
BaseRepresentation
bin100000010011101110001…
…110111000011000110000
321212020201120000000102012
4200103232032320120300
5242333432200044440
64415540143142052
7316255424435321
oct40235616703060
97766646000365
102220200003120
11786644026340
122ba3585a4928
131314968169c8
147965b63a448
153cb44a27e65
hex204ee3b8630

2220200003120 has 80 divisors (see below), whose sum is σ = 5631562056960. Its totient is φ = 807298502400.

The previous prime is 2220200003071. The next prime is 2220200003123. The reversal of 2220200003120 is 213000020222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2220200003095 and 2220200003104.

It is not an unprimeable number, because it can be changed into a prime (2220200003123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17440661 + ... + 17567499.

It is an arithmetic number, because the mean of its divisors is an integer number (70394525712).

Almost surely, 22220200003120 is an apocalyptic number.

2220200003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220200003120 is an abundant number, since it is smaller than the sum of its proper divisors (3411362053840).

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

2220200003120 is a wasteful number, since it uses less digits than its factorization.

2220200003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146754 (or 146748 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2220200003120 its reverse (213000020222), we get a palindrome (2433200023342).

The spelling of 2220200003120 in words is "two trillion, two hundred twenty billion, two hundred million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 19891 39782 79564 99455 126839 159128 198910 218801 253678 318256 397820 437602 507356 634195 795640 875204 1014712 1094005 1268390 1395229 1591280 1750408 2029424 2188010 2536780 2790458 3500816 4376020 5073560 5580916 6976145 8752040 10147120 11161832 13952290 17504080 22323664 27904580 55809160 111618320 2522954549 5045909098 10091818196 12614772745 20183636392 25229545490 27752500039 40367272784 50459090980 55505000078 100918181960 111010000156 138762500195 201836363920 222020000312 277525000390 444040000624 555050000780 1110100001560 2220200003120