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4314230200 = 235279731769
BaseRepresentation
bin1000000010010010…
…11110110110111000
3102010122222121020201
410001021132312320
532313420331300
61552032531544
7211624231420
oct40111366670
912118877221
104314230200
1119142a8005
12a049b0bb4
13539a62647
142ccd8d480
151a3b4566a
hex10125edb8

4314230200 has 96 divisors (see below), whose sum is σ = 11582071200. Its totient is φ = 1463869440.

The previous prime is 4314230197. The next prime is 4314230209. The reversal of 4314230200 is 20324134.

It is a super-2 number, since 2×43142302002 = 37225164437184080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314230209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119916 + ... + 151684.

It is an arithmetic number, because the mean of its divisors is an integer number (120646575).

Almost surely, 24314230200 is an apocalyptic number.

4314230200 is a gapful number since it is divisible by the number (40) 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 4314230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791035600).

4314230200 is an abundant number, since it is smaller than the sum of its proper divisors (7267841000).

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

4314230200 is a wasteful number, since it uses less digits than its factorization.

4314230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31889 (or 31880 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4314230200 is about 65682.7998794205. The cubic root of 4314230200 is about 1627.9251706737.

Adding to 4314230200 its reverse (20324134), we get a palindrome (4334554334).

The spelling of 4314230200 in words is "four billion, three hundred fourteen million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 140 175 194 200 280 350 388 485 679 700 776 970 1358 1400 1940 2425 2716 3395 3880 4850 5432 6790 9700 13580 16975 19400 27160 31769 33950 63538 67900 127076 135800 158845 222383 254152 317690 444766 635380 794225 889532 1111915 1270760 1588450 1779064 2223830 3081593 3176900 4447660 5559575 6163186 6353800 8895320 11119150 12326372 15407965 21571151 22238300 24652744 30815930 43142302 44476600 61631860 77039825 86284604 107855755 123263720 154079650 172569208 215711510 308159300 431423020 539278775 616318600 862846040 1078557550 2157115100 4314230200