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2195455560 = 2335891991033
BaseRepresentation
bin1000001011011011…
…1111111001001000
312200000010200211220
42002312333321020
513444014034220
61001504122040
7105256031034
oct20266777110
95600120756
102195455560
11a27306291
12513306320
1328cb0003c
1416b8171c4
15ccb20540
hex82dbfe48

2195455560 has 128 divisors (see below), whose sum is σ = 6700320000. Its totient is φ = 575410176.

The previous prime is 2195455541. The next prime is 2195455571. The reversal of 2195455560 is 655545912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2124804 + ... + 2125836.

It is an arithmetic number, because the mean of its divisors is an integer number (52346250).

Almost surely, 22195455560 is an apocalyptic number.

2195455560 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 2195455560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350160000).

2195455560 is an abundant number, since it is smaller than the sum of its proper divisors (4504864440).

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

2195455560 is a wasteful number, since it uses less digits than its factorization.

2195455560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The square root of 2195455560 is about 46855.6886621038. The cubic root of 2195455560 is about 1299.6953053169.

The spelling of 2195455560 in words is "two billion, one hundred ninety-five million, four hundred fifty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 199 267 356 398 445 534 597 712 796 890 995 1033 1068 1194 1335 1592 1780 1990 2066 2136 2388 2670 2985 3099 3560 3980 4132 4776 5165 5340 5970 6198 7960 8264 10330 10680 11940 12396 15495 17711 20660 23880 24792 30990 35422 41320 53133 61980 70844 88555 91937 106266 123960 141688 177110 183874 205567 212532 265665 275811 354220 367748 411134 425064 459685 531330 551622 616701 708440 735496 822268 919370 1027835 1062660 1103244 1233402 1379055 1644536 1838740 2055670 2125320 2206488 2466804 2758110 3083505 3677480 4111340 4933608 5516220 6167010 8222680 11032440 12334020 18295463 24668040 36590926 54886389 73181852 91477315 109772778 146363704 182954630 219545556 274431945 365909260 439091112 548863890 731818520 1097727780 2195455560