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2201245560 = 2332531119661
BaseRepresentation
bin1000001100110100…
…0101011101111000
312200102000212020100
42003031011131320
514002004324220
61002232155400
7105356164353
oct20315053570
95612025210
102201245560
11a2a600408
12515238b60
13291079587
1416c4c329a
15cd3b5d90
hex83345778

2201245560 has 96 divisors (see below), whose sum is σ = 7177416480. Its totient is φ = 585081600.

The previous prime is 2201245523. The next prime is 2201245583. The reversal of 2201245560 is 655421022.

2201245560 is a `hidden beast` number, since 2 + 201 + 2 + 455 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102130 + ... + 121790.

It is an arithmetic number, because the mean of its divisors is an integer number (74764755).

Almost surely, 22201245560 is an apocalyptic number.

2201245560 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 2201245560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588708240).

2201245560 is an abundant number, since it is smaller than the sum of its proper divisors (4976170920).

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

2201245560 is a wasteful number, since it uses less digits than its factorization.

2201245560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19989 (or 19982 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2201245560 is about 46917.4334336396. The cubic root of 2201245560 is about 1300.8368497388.

Adding to 2201245560 its reverse (655421022), we get a palindrome (2856666582).

The spelling of 2201245560 in words is "two billion, two hundred one million, two hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 311 360 622 933 1244 1555 1866 2488 2799 3110 3732 4665 5598 6220 7464 9330 11196 12440 13995 18660 19661 22392 27990 37320 39322 55980 58983 78644 98305 111960 117966 157288 176949 196610 235932 294915 353898 393220 471864 589830 707796 786440 884745 1179660 1415592 1769490 2359320 3538980 6114571 7077960 12229142 18343713 24458284 30572855 36687426 48916568 55031139 61145710 73374852 91718565 110062278 122291420 146749704 183437130 220124556 244582840 275155695 366874260 440249112 550311390 733748520 1100622780 2201245560