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10225203240 = 2335713788853
BaseRepresentation
bin10011000010111100…
…00011100000101000
3222101121112010220010
421201132003200220
5131420123000430
64410345331520
7511250536110
oct114136034050
928347463803
1010225203240
11437795159a
121b94496ba0
13c6c55a325
146d0026040
153eca44cb0
hex261783828

10225203240 has 128 divisors (see below), whose sum is σ = 35314133760. Its totient is φ = 2320103424.

The previous prime is 10225203227. The next prime is 10225203283. The reversal of 10225203240 is 4230252201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70654 + ... + 159506.

It is an arithmetic number, because the mean of its divisors is an integer number (275891670).

Almost surely, 210225203240 is an apocalyptic number.

10225203240 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 10225203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657066880).

10225203240 is an abundant number, since it is smaller than the sum of its proper divisors (25088930520).

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

10225203240 is a wasteful number, since it uses less digits than its factorization.

10225203240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89011 (or 89007 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 10225203240 its reverse (4230252201), we get a palindrome (14455455441).

The spelling of 10225203240 in words is "ten billion, two hundred twenty-five million, two hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1096 1370 1644 1918 2055 2740 2877 3288 3836 4110 4795 5480 5754 7672 8220 9590 11508 14385 16440 19180 23016 28770 38360 57540 88853 115080 177706 266559 355412 444265 533118 621971 710824 888530 1066236 1243942 1332795 1777060 1865913 2132472 2487884 2665590 3109855 3554120 3731826 4975768 5331180 6219710 7463652 9329565 10662360 12172861 12439420 14927304 18659130 24345722 24878840 36518583 37318260 48691444 60864305 73037166 74636520 85210027 97382888 121728610 146074332 170420054 182592915 243457220 255630081 292148664 340840108 365185830 426050135 486914440 511260162 681680216 730371660 852100270 1022520324 1278150405 1460743320 1704200540 2045040648 2556300810 3408401080 5112601620 10225203240