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7020233430 = 2357219213229
BaseRepresentation
bin1101000100111000…
…00100001011010110
3200010020210210211120
412202130010023112
5103334134432210
63120335544410
7335652666600
oct64234041326
920106723746
107020233430
112a82814311
12143b08b106
1387b56b6a2
144a8506170
152b14b4270
hex1a27042d6

7020233430 has 144 divisors (see below), whose sum is σ = 20686745520. Its totient is φ = 1520055936.

The previous prime is 7020233383. The next prime is 7020233497. The reversal of 7020233430 is 343320207.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 7020233430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 524056 + ... + 537284.

It is an arithmetic number, because the mean of its divisors is an integer number (143657955).

Almost surely, 27020233430 is an apocalyptic number.

7020233430 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7020233430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10343372760).

7020233430 is an abundant number, since it is smaller than the sum of its proper divisors (13666512090).

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

7020233430 is a wasteful number, since it uses less digits than its factorization.

7020233430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291 (or 13265 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 7020233430 is about 83786.8332734923. The cubic root of 7020233430 is about 1914.7725126133.

Adding to 7020233430 its reverse (343320207), we get a palindrome (7363553637).

The spelling of 7020233430 in words is "seven billion, twenty million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 361 399 490 570 665 722 735 798 931 1083 1330 1470 1805 1862 1995 2166 2527 2793 3610 3990 4655 5054 5415 5586 7581 9310 10830 12635 13229 13965 15162 17689 25270 26458 27930 35378 37905 39687 53067 66145 75810 79374 88445 92603 106134 132290 176890 185206 198435 251351 265335 277809 396870 463015 502702 530670 555618 648221 754053 926030 1256755 1296442 1389045 1508106 1759457 1944663 2513510 2778090 3241105 3518914 3770265 3889326 4775669 5278371 6482210 7540530 8797285 9551338 9723315 10556742 12316199 14327007 17594570 19446630 23878345 24632398 26391855 28654014 33429683 36948597 47756690 52783710 61580995 66859366 71635035 73897194 100289049 123161990 143270070 167148415 184742985 200578098 234007781 334296830 369485970 468015562 501445245 702023343 1002890490 1170038905 1404046686 2340077810 3510116715 7020233430