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10225424000 = 27531158099
BaseRepresentation
bin10011000010111101…
…11001011010000000
3222101121221100201102
421201132321122000
5131420202032000
64410354153532
7511252445531
oct114136713200
928347840642
1010225424000
114377a92440
121b945828a8
13c6c60695c
146d0082688
153eca8a3d5
hex2617b9680

10225424000 has 128 divisors (see below), whose sum is σ = 27734616000. Its totient is φ = 3718272000.

The previous prime is 10225423969. The next prime is 10225424051. The reversal of 10225424000 is 42452201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146951 + ... + 205049.

Almost surely, 210225424000 is an apocalyptic number.

10225424000 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 10225424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867308000).

10225424000 is an abundant number, since it is smaller than the sum of its proper divisors (17509192000).

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

10225424000 is an equidigital number, since it uses as much as digits as its factorization.

10225424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58139 (or 58117 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 10225424000 its reverse (42452201), we get a palindrome (10267876201).

The spelling of 10225424000 in words is "ten billion, two hundred twenty-five million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 35200 44000 58099 88000 116198 176000 232396 290495 464792 580990 639089 929584 1161980 1278178 1452475 1859168 2323960 2556356 2904950 3195445 3718336 4647920 5112712 5809900 6390890 7262375 7436672 9295840 10225424 11619800 12781780 14524750 15977225 18591680 20450848 23239600 25563560 29049500 31954450 37183360 40901696 46479200 51127120 58099000 63908900 79886125 81803392 92958400 102254240 116198000 127817800 159772250 185916800 204508480 232396000 255635600 319544500 409016960 464792000 511271200 639089000 929584000 1022542400 1278178000 2045084800 2556356000 5112712000 10225424000