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2201255680 = 28513132287
BaseRepresentation
bin1000001100110100…
…0111111100000000
312200102001101010011
42003031013330000
514002010140210
61002232314304
7105356236021
oct20315077400
95612041104
102201255680
11a2a607a78
12515242994
13291081070
1416c4c6c48
15cd3b8d8a
hex83347f00

2201255680 has 72 divisors (see below), whose sum is σ = 5678330112. Its totient is φ = 812765184.

The previous prime is 2201255653. The next prime is 2201255713. The reversal of 2201255680 is 865521022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49504 + ... + 82783.

It is an arithmetic number, because the mean of its divisors is an integer number (78865696).

Almost surely, 22201255680 is an apocalyptic number.

2201255680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2201255680 is an abundant number, since it is smaller than the sum of its proper divisors (3477074432).

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

2201255680 is a wasteful number, since it uses less digits than its factorization.

2201255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132321 (or 132307 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 2201255680 is about 46917.5412825523. The cubic root of 2201255680 is about 1300.8388432236.

The spelling of 2201255680 in words is "two billion, two hundred one million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 3328 4160 8320 16640 132287 264574 529148 661435 1058296 1322870 1719731 2116592 2645740 3439462 4233184 5291480 6878924 8466368 8598655 10582960 13757848 16932736 17197310 21165920 27515696 33865472 34394620 42331840 55031392 68789240 84663680 110062784 137578480 169327360 220125568 275156960 440251136 550313920 1100627840 2201255680