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130232200 = 23527297137
BaseRepresentation
bin1111100001100…
…10111110001000
3100002001110222211
413300302332020
5231314412300
620531154504
73140645500
oct760627610
9302043884
10130232200
116757041a
1237745a34
1320c9a397
1413420a00
15b6774ba
hex7c32f88

130232200 has 144 divisors (see below), whose sum is σ = 358453620. Its totient is φ = 43868160.

The previous prime is 130232173. The next prime is 130232227. The reversal of 130232200 is 2232031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130232173) and next prime (130232227).

It can be written as a sum of positive squares in 6 ways, for example, as 49196196 + 81036004 = 7014^2 + 9002^2 .

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, 950532 + ... + 950668.

Almost surely, 2130232200 is an apocalyptic number.

130232200 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 130232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179226810).

130232200 is an abundant number, since it is smaller than the sum of its proper divisors (228221420).

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

130232200 is a wasteful number, since it uses less digits than its factorization.

130232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 130232200 is about 11411.9323517098. The cubic root of 130232200 is about 506.8811322752.

Adding to 130232200 its reverse (2232031), we get a palindrome (132464231).

The spelling of 130232200 in words is "one hundred thirty million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 97 98 100 137 140 175 194 196 200 245 274 280 350 388 392 485 490 548 679 685 700 776 959 970 980 1096 1225 1358 1370 1400 1918 1940 1960 2425 2450 2716 2740 3395 3425 3836 3880 4753 4795 4850 4900 5432 5480 6713 6790 6850 7672 9506 9590 9700 9800 13289 13426 13580 13700 16975 19012 19180 19400 23765 23975 26578 26852 27160 27400 33565 33950 38024 38360 47530 47950 53156 53704 66445 67130 67900 93023 95060 95900 106312 118825 132890 134260 135800 167825 186046 190120 191800 237650 265780 268520 332225 335650 372092 465115 475300 531560 651161 664450 671300 744184 930230 950600 1302322 1328900 1342600 1860460 2325575 2604644 2657800 3255805 3720920 4651150 5209288 6511610 9302300 13023220 16279025 18604600 26046440 32558050 65116100 130232200