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10234256200 = 2352713753359
BaseRepresentation
bin10011000100000001…
…00101101101001000
3222102020120002012221
421202000211231020
5131424432144300
64411311343424
7511420512430
oct114200455510
928366502187
1010234256200
114381a75183
121b97521b74
13c713a9acc
146d13012c0
153ed73231a
hex262025b48

10234256200 has 96 divisors (see below), whose sum is σ = 27392889600. Its totient is φ = 3483210240.

The previous prime is 10234256141. The next prime is 10234256239. The reversal of 10234256200 is 265243201.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 165121 + ... + 218479.

It is an arithmetic number, because the mean of its divisors is an integer number (285342600).

Almost surely, 210234256200 is an apocalyptic number.

10234256200 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 10234256200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696444800).

10234256200 is an abundant number, since it is smaller than the sum of its proper divisors (17158633400).

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

10234256200 is a wasteful number, since it uses less digits than its factorization.

10234256200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53519 (or 53510 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 10234256200 its reverse (265243201), we get a palindrome (10499499401).

The spelling of 10234256200 in words is "ten billion, two hundred thirty-four million, two hundred fifty-six thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 137 140 175 200 274 280 350 548 685 700 959 1096 1370 1400 1918 2740 3425 3836 4795 5480 6850 7672 9590 13700 19180 23975 27400 38360 47950 53359 95900 106718 191800 213436 266795 373513 426872 533590 747026 1067180 1333975 1494052 1867565 2134360 2667950 2988104 3735130 5335900 7310183 7470260 9337825 10671800 14620366 14940520 18675650 29240732 36550915 37351300 51171281 58481464 73101830 74702600 102342562 146203660 182754575 204685124 255856405 292407320 365509150 409370248 511712810 731018300 1023425620 1279282025 1462036600 2046851240 2558564050 5117128100 10234256200