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130225800 = 233521271709
BaseRepresentation
bin1111100001100…
…01011010001000
3100002001011012210
413300301122020
5231314211200
620531105120
73140621025
oct760613210
9302034183
10130225800
1167566631
12377421a0
1320c974b3
141341c54c
15b675650
hex7c31688

130225800 has 96 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 34433280.

The previous prime is 130225787. The next prime is 130225813. The reversal of 130225800 is 8522031.

It is an interprime number because it is at equal distance from previous prime (130225787) and next prime (130225813).

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, 75346 + ... + 77054.

It is an arithmetic number, because the mean of its divisors is an integer number (4240800).

Almost surely, 2130225800 is an apocalyptic number.

130225800 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 130225800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203558400).

130225800 is an abundant number, since it is smaller than the sum of its proper divisors (276891000).

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

130225800 is a wasteful number, since it uses less digits than its factorization.

130225800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 130225800 is about 11411.6519400129. The cubic root of 130225800 is about 506.8728289207.

Adding to 130225800 its reverse (8522031), we get a palindrome (138747831).

The spelling of 130225800 in words is "one hundred thirty million, two hundred twenty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 127 150 200 254 300 381 508 600 635 762 1016 1270 1524 1709 1905 2540 3048 3175 3418 3810 5080 5127 6350 6836 7620 8545 9525 10254 12700 13672 15240 17090 19050 20508 25400 25635 34180 38100 41016 42725 51270 68360 76200 85450 102540 128175 170900 205080 217043 256350 341800 434086 512700 651129 868172 1025400 1085215 1302258 1736344 2170430 2604516 3255645 4340860 5209032 5426075 6511290 8681720 10852150 13022580 16278225 21704300 26045160 32556450 43408600 65112900 130225800