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1023412230 = 232537595209
BaseRepresentation
bin111101000000000…
…000100000000110
32122022201201122200
4331000000200012
54043443142410
6245315135330
734234601061
oct7500004006
92568651580
101023412230
11485764835
122468a4546
13134046789
1499cc38d8
155eca83c0
hex3d000806

1023412230 has 96 divisors (see below), whose sum is σ = 2779639200. Its totient is φ = 260983296.

The previous prime is 1023412183. The next prime is 1023412231. The reversal of 1023412230 is 322143201.

1023412230 is a `hidden beast` number, since 1 + 0 + 23 + 412 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023412231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193866 + ... + 199074.

It is an arithmetic number, because the mean of its divisors is an integer number (28954575).

Almost surely, 21023412230 is an apocalyptic number.

1023412230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023412230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389819600).

1023412230 is an abundant number, since it is smaller than the sum of its proper divisors (1756226970).

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

1023412230 is a wasteful number, since it uses less digits than its factorization.

1023412230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1023412230 is about 31990.8147754945. The cubic root of 1023412230 is about 1007.7439530591.

Adding to 1023412230 its reverse (322143201), we get a palindrome (1345555431).

The spelling of 1023412230 in words is "one billion, twenty-three million, four hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 59 74 90 111 118 177 185 222 295 333 354 370 531 555 590 666 885 1062 1110 1665 1770 2183 2655 3330 4366 5209 5310 6549 10418 10915 13098 15627 19647 21830 26045 31254 32745 39294 46881 52090 65490 78135 93762 98235 156270 192733 196470 234405 307331 385466 468810 578199 614662 921993 963665 1156398 1536655 1734597 1843986 1927330 2765979 2890995 3073310 3469194 4609965 5531958 5781990 8672985 9219930 11371247 13829895 17345970 22742494 27659790 34113741 56856235 68227482 102341223 113712470 170568705 204682446 341137410 511706115 1023412230