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2230130320 = 2451119831607
BaseRepresentation
bin1000010011101101…
…0001011010010000
312202102101100200021
42010323101122100
514031403132240
61005143233224
7106156536445
oct20473213220
95672340607
102230130320
11a44939a10
12522a48814
13297050a52
141722819cc
15d0bbe54a
hex84ed1690

2230130320 has 160 divisors (see below), whose sum is σ = 6029614080. Its totient is φ = 758545920.

The previous prime is 2230130291. The next prime is 2230130333. The reversal of 2230130320 is 230310322.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2230130294 and 2230130303.

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, 1386957 + ... + 1388563.

It is an arithmetic number, because the mean of its divisors is an integer number (37685088).

Almost surely, 22230130320 is an apocalyptic number.

2230130320 is a gapful number since it is divisible by the number (20) 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 2230130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014807040).

2230130320 is an abundant number, since it is smaller than the sum of its proper divisors (3799483760).

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

2230130320 is a wasteful number, since it uses less digits than its factorization.

2230130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2230130320 is about 47224.2556320372. The cubic root of 2230130320 is about 1306.5020056057.

Adding to 2230130320 its reverse (230310322), we get a palindrome (2460440642).

The spelling of 2230130320 in words is "two billion, two hundred thirty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 83 88 95 110 152 166 176 190 209 220 304 332 380 415 418 440 664 760 830 836 880 913 1045 1328 1520 1577 1607 1660 1672 1826 2090 3154 3214 3320 3344 3652 4180 4565 6308 6428 6640 7304 7885 8035 8360 9130 12616 12856 14608 15770 16070 16720 17347 17677 18260 25232 25712 30533 31540 32140 34694 35354 36520 61066 63080 64280 69388 70708 73040 86735 88385 122132 126160 128560 133381 138776 141416 152665 173470 176770 244264 266762 277552 282832 305330 335863 346940 353540 488528 533524 610660 666905 671726 693880 707080 1067048 1221320 1333810 1343452 1387760 1414160 1467191 1679315 2134096 2442640 2534239 2667620 2686904 2934382 3358630 5068478 5335240 5373808 5868764 6717260 7335955 10136956 10670480 11737528 12671195 13434520 14671910 20273912 23475056 25342390 26869040 27876629 29343820 40547824 50684780 55753258 58687640 101369560 111506516 117375280 139383145 202739120 223013032 278766290 446026064 557532580 1115065160 2230130320