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2225122560 = 28325193153
BaseRepresentation
bin1000010010100000…
…1010110100000000
312202001221221022200
42010220022310000
514024112410220
61004444033200
7106066141533
oct20450126400
95661857280
102225122560
11a42029571
12521232800
13295cb958b
1417173aa1a
15d0530890
hex84a0ad00

2225122560 has 108 divisors (see below), whose sum is σ = 7698732132. Its totient is φ = 593362944.

The previous prime is 2225122507. The next prime is 2225122573. The reversal of 2225122560 is 652215222.

It can be written as a sum of positive squares in 2 ways, for example, as 1037355264 + 1187767296 = 32208^2 + 34464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85057 + ... + 108096.

Almost surely, 22225122560 is an apocalyptic number.

2225122560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225122560 is an abundant number, since it is smaller than the sum of its proper divisors (5473609572).

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

2225122560 is a wasteful number, since it uses less digits than its factorization.

2225122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193180 (or 193163 counting only the distinct ones).

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

The square root of 2225122560 is about 47171.2047757952. The cubic root of 2225122560 is about 1305.5233555065.

Adding to 2225122560 its reverse (652215222), we get a palindrome (2877337782).

The spelling of 2225122560 in words is "two billion, two hundred twenty-five million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 193153 386306 579459 772612 965765 1158918 1545224 1738377 1931530 2317836 2897295 3090448 3476754 3863060 4635672 5794590 6180896 6953508 7726120 8691885 9271344 11589180 12361792 13907016 15452240 17383770 18542688 23178360 24723584 27814032 30904480 34767540 37085376 46356720 49447168 55628064 61808960 69535080 74170752 92713440 111256128 123617920 139070160 148341504 185426880 222512256 247235840 278140320 370853760 445024512 556280640 741707520 1112561280 2225122560