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2231488380 = 22351112492707
BaseRepresentation
bin1000010100000001…
…1100111101111100
312202111221100120210
42011000130331330
514032230112010
61005232312420
7106204224012
oct20500347574
95674840523
102231488380
11a45687280
125233a2710
13297407c34
141725168b2
15d0d8bb20
hex8501cf7c

2231488380 has 96 divisors (see below), whose sum is σ = 6824160000. Its totient is φ = 540334080.

The previous prime is 2231488379. The next prime is 2231488381. The reversal of 2231488380 is 838841322.

It is an interprime number because it is at equal distance from previous prime (2231488379) and next prime (2231488381).

It is a super-3 number, since 3×22314883803 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231488381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 822987 + ... + 825693.

It is an arithmetic number, because the mean of its divisors is an integer number (71085000).

Almost surely, 22231488380 is an apocalyptic number.

2231488380 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 2231488380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412080000).

2231488380 is an abundant number, since it is smaller than the sum of its proper divisors (4592671620).

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

2231488380 is a wasteful number, since it uses less digits than its factorization.

2231488380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2231488380 is about 47238.6322833335. The cubic root of 2231488380 is about 1306.7671542473.

The spelling of 2231488380 in words is "two billion, two hundred thirty-one million, four hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1249 2498 2707 3747 4996 5414 6245 7494 8121 10828 12490 13535 13739 14988 16242 18735 24980 27070 27478 29777 32484 37470 40605 41217 54140 54956 59554 68695 74940 81210 82434 89331 119108 137390 148885 162420 164868 178662 206085 274780 297770 357324 412170 446655 595540 824340 893310 1786620 3381043 6762086 10143129 13524172 16905215 20286258 33810430 37191473 40572516 50715645 67620860 74382946 101431290 111574419 148765892 185957365 202862580 223148838 371914730 446297676 557872095 743829460 1115744190 2231488380