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2220000003320 = 235115638961731
BaseRepresentation
bin100000010011100010010…
…011111100010011111000
321212020012121122222021012
4200103202103330103320
5242333030000101240
64415504240333052
7316250445451451
oct40234223742370
97766177588235
102220000003320
11786551143550
122ba301614188
1313146425c828
147963cc58128
153cb321bdb65
hex204e24fc4f8

2220000003320 has 64 divisors (see below), whose sum is σ = 5458770195840. Its totient is φ = 805838761600.

The previous prime is 2220000003317. The next prime is 2220000003329. The reversal of 2220000003320 is 233000000222.

It is a super-2 number, since 2×22200000033202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2220000003295 and 2220000003304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220000003329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4233146 + ... + 4728585.

It is an arithmetic number, because the mean of its divisors is an integer number (85293284310).

Almost surely, 22220000003320 is an apocalyptic number.

2220000003320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220000003320 is an abundant number, since it is smaller than the sum of its proper divisors (3238770192520).

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

2220000003320 is a wasteful number, since it uses less digits than its factorization.

2220000003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962316 (or 8962312 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 2220000003320 its reverse (233000000222), we get a palindrome (2453000003542).

The spelling of 2220000003320 in words is "two trillion, two hundred twenty billion, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 563 1126 2252 2815 4504 5630 6193 11260 12386 22520 24772 30965 49544 61930 123860 247720 8961731 17923462 35846924 44808655 71693848 89617310 98579041 179234620 197158082 358469240 394316164 492895205 788632328 985790410 1971580820 3943161640 5045454553 10090909106 20181818212 25227272765 40363636424 50454545530 55500000083 100909091060 111000000166 201818182120 222000000332 277500000415 444000000664 555000000830 1110000001660 2220000003320