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130022200 = 23527118443
BaseRepresentation
bin1111011111111…
…11101100111000
3100001122210221001
413233333230320
5231241202300
620522454344
73136112320
oct757775470
9301583831
10130022200
1167437670
12376643b4
1320c25919
14133a8280
15b63516a
hex7bffb38

130022200 has 96 divisors (see below), whose sum is σ = 376940160. Its totient is φ = 40521600.

The previous prime is 130022183. The next prime is 130022213. The reversal of 130022200 is 2220031.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 11179 + ... + 19621.

It is an arithmetic number, because the mean of its divisors is an integer number (3926460).

Almost surely, 2130022200 is an apocalyptic number.

130022200 is a gapful number since it is divisible by the number (10) 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 130022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188470080).

130022200 is an abundant number, since it is smaller than the sum of its proper divisors (246917960).

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

130022200 is a wasteful number, since it uses less digits than its factorization.

130022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8477 (or 8468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 130022200 is about 11402.7277438339. The cubic root of 130022200 is about 506.6085363441.

Adding to 130022200 its reverse (2220031), we get a palindrome (132242231).

The spelling of 130022200 in words is "one hundred thirty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 8443 15400 16886 33772 42215 59101 67544 84430 92873 118202 168860 185746 211075 236404 295505 337720 371492 422150 464365 472808 591010 650111 742984 844300 928730 1182020 1300222 1477525 1688600 1857460 2321825 2364040 2600444 2955050 3250555 3714920 4643650 5200888 5910100 6501110 9287300 11820200 13002220 16252775 18574600 26004440 32505550 65011100 130022200