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250193232200 = 235211323132
BaseRepresentation
bin1110100100000010101…
…1011100000101001000
3212220210101201001212102
43221000223130011020
513044343431412300
6310534233132532
724035010245642
oct3510053340510
9786711631772
10250193232200
119711961448a
12405a525a148
131a793116882
14c176351892
156794c880d5
hex3a40adc148

250193232200 has 108 divisors (see below), whose sum is σ = 588773648385. Its totient is φ = 98874746880.

The previous prime is 250193232193. The next prime is 250193232203. The reversal of 250193232200 is 2232391052.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 248927153476 + 1266078724 = 498926^2 + 35582^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=353690.

It is not an unprimeable number, because it can be changed into a prime (250193232203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 799339244 + ... + 799339556.

Almost surely, 2250193232200 is an apocalyptic number.

250193232200 is a gapful number since it is divisible by the number (20) 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 250193232200

250193232200 is an abundant number, since it is smaller than the sum of its proper divisors (338580416185).

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

250193232200 is an equidigital number, since it uses as much as digits as its factorization.

250193232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 250193232200 in words is "two hundred fifty billion, one hundred ninety-three million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 313 452 565 626 904 1130 1252 1565 2260 2504 2825 3130 4520 5650 6260 7825 11300 12520 12769 15650 22600 25538 31300 35369 51076 62600 63845 70738 97969 102152 127690 141476 176845 195938 255380 282952 319225 353690 391876 489845 510760 638450 707380 783752 884225 979690 1276900 1414760 1768450 1959380 2449225 2553800 3536900 3918760 3996697 4898450 7073800 7993394 9796900 11070497 15986788 19593800 19983485 22140994 31973576 39966970 44281988 55352485 79933940 88563976 99917425 110704970 159867880 199834850 221409940 276762425 399669700 442819880 553524850 799339400 1107049700 1250966161 2214099400 2501932322 5003864644 6254830805 10007729288 12509661610 25019323220 31274154025 50038646440 62548308050 125096616100 250193232200