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130888200 = 23352312227
BaseRepresentation
bin1111100110100…
…11001000001000
3100010021210212010
413303103020020
5232001410300
620553215520
73146350152
oct763231010
9303253763
10130888200
1167979273
1237a015a0
1321169b51
1413551ad2
15b756a50
hex7cd3208

130888200 has 144 divisors (see below), whose sum is σ = 421111440. Its totient is φ = 33628800.

The previous prime is 130888189. The next prime is 130888213. The reversal of 130888200 is 2888031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576487 + ... + 576713.

It is an arithmetic number, because the mean of its divisors is an integer number (2924385).

Almost surely, 2130888200 is an apocalyptic number.

130888200 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 130888200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210555720).

130888200 is an abundant number, since it is smaller than the sum of its proper divisors (290223240).

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

130888200 is a wasteful number, since it uses less digits than its factorization.

130888200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 130888200 is about 11440.6380940925. The cubic root of 130888200 is about 507.7307871520.

The spelling of 130888200 in words is "one hundred thirty million, eight hundred eighty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 227 248 300 310 372 454 465 600 620 681 744 775 908 930 961 1135 1240 1362 1550 1816 1860 1922 2270 2325 2724 2883 3100 3405 3720 3844 4540 4650 4805 5448 5675 5766 6200 6810 7037 7688 9080 9300 9610 11350 11532 13620 14074 14415 17025 18600 19220 21111 22700 23064 24025 27240 28148 28830 34050 35185 38440 42222 45400 48050 56296 57660 68100 70370 72075 84444 96100 105555 115320 136200 140740 144150 168888 175925 192200 211110 218147 281480 288300 351850 422220 436294 527775 576600 654441 703700 844440 872588 1055550 1090735 1308882 1407400 1745176 2111100 2181470 2617764 3272205 4222200 4362940 5235528 5453675 6544410 8725880 10907350 13088820 16361025 21814700 26177640 32722050 43629400 65444100 130888200