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102230240 = 255797941
BaseRepresentation
bin1100001011111…
…10100011100000
321010100211112012
412011332203200
5202132331430
614051052052
72350641230
oct605764340
9233324465
10102230240
1152785102
122a2a1028
1318244988
14d811cc0
158e95695
hex617e8e0

102230240 has 96 divisors (see below), whose sum is σ = 279163584. Its totient is φ = 34652160.

The previous prime is 102230237. The next prime is 102230243. The reversal of 102230240 is 42032201.

It is an interprime number because it is at equal distance from previous prime (102230237) and next prime (102230243).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108170 + ... + 109110.

It is an arithmetic number, because the mean of its divisors is an integer number (2907954).

Almost surely, 2102230240 is an apocalyptic number.

102230240 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 102230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139581792).

102230240 is an abundant number, since it is smaller than the sum of its proper divisors (176933344).

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

102230240 is an equidigital number, since it uses as much as digits as its factorization.

102230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 102230240 is about 10110.8970917520. The cubic root of 102230240 is about 467.5841632148.

Adding to 102230240 its reverse (42032201), we get a palindrome (144262441).

The spelling of 102230240 in words is "one hundred two million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 97 112 140 160 194 224 280 388 485 560 679 776 941 970 1120 1358 1552 1882 1940 2716 3104 3395 3764 3880 4705 5432 6587 6790 7528 7760 9410 10864 13174 13580 15056 15520 18820 21728 26348 27160 30112 32935 37640 52696 54320 65870 75280 91277 105392 108640 131740 150560 182554 210784 263480 365108 456385 526960 638939 730216 912770 1053920 1277878 1460432 1825540 2555756 2920864 3194695 3651080 5111512 6389390 7302160 10223024 12778780 14604320 20446048 25557560 51115120 102230240