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2145364180 = 2251573971721
BaseRepresentation
bin111111111011111…
…1010100011010100
312112111212210101121
41333313322203110
513343203123210
6552514333324
7104110203031
oct17767724324
95474783347
102145364180
11a01002953
124ba58a244
1328261217b
14164cd8388
15c85286da
hex7fdfa8d4

2145364180 has 48 divisors (see below), whose sum is σ = 4548022416. Its totient is φ = 850037760.

The previous prime is 2145364171. The next prime is 2145364189. The reversal of 2145364180 is 814635412.

It is an interprime number because it is at equal distance from previous prime (2145364171) and next prime (2145364189).

It can be written as a sum of positive squares in 8 ways, for example, as 2414916 + 2142949264 = 1554^2 + 46292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145364189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1245720 + ... + 1247440.

It is an arithmetic number, because the mean of its divisors is an integer number (94750467).

Almost surely, 22145364180 is an apocalyptic number.

2145364180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2145364180 is an abundant number, since it is smaller than the sum of its proper divisors (2402658236).

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

2145364180 is a wasteful number, since it uses less digits than its factorization.

2145364180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2145364180 is about 46318.0761690293. The cubic root of 2145364180 is about 1289.7345727162.

Adding to 2145364180 its reverse (814635412), we get a palindrome (2959999592).

The spelling of 2145364180 in words is "two billion, one hundred forty-five million, three hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 157 314 397 628 785 794 1570 1588 1721 1985 3140 3442 3970 6884 7940 8605 17210 34420 62329 124658 249316 270197 311645 540394 623290 683237 1080788 1246580 1350985 1366474 2701970 2732948 3416185 5403940 6832370 13664740 107268209 214536418 429072836 536341045 1072682090 2145364180