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2243635140 = 22351913914159
BaseRepresentation
bin1000010110111011…
…0010011111000100
312210100210110210210
42011232302133010
514043332311030
61010344515420
7106412404215
oct20556623704
95710713723
102243635140
11a5152331a
1252747bb70
13299a9b976
14173d9940c
15d1e8abb0
hex85bb27c4

2243635140 has 96 divisors (see below), whose sum is σ = 6660864000. Its totient is φ = 562695552.

The previous prime is 2243635117. The next prime is 2243635151. The reversal of 2243635140 is 415363422.

2243635140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2243635098 and 2243635107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151381 + ... + 165539.

It is an arithmetic number, because the mean of its divisors is an integer number (69384000).

Almost surely, 22243635140 is an apocalyptic number.

2243635140 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 2243635140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330432000).

2243635140 is an abundant number, since it is smaller than the sum of its proper divisors (4417228860).

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

2243635140 is a wasteful number, since it uses less digits than its factorization.

2243635140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14329 (or 14327 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2243635140 is about 47367.0258724358. The cubic root of 2243635140 is about 1309.1339263098.

Adding to 2243635140 its reverse (415363422), we get a palindrome (2658998562).

It can be divided in two parts, 224363 and 5140, that added together give a triangular number (229503 = T677).

The spelling of 2243635140 in words is "two billion, two hundred forty-three million, six hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 139 190 228 278 285 380 417 556 570 695 834 1140 1390 1668 2085 2641 2780 4170 5282 7923 8340 10564 13205 14159 15846 26410 28318 31692 39615 42477 52820 56636 70795 79230 84954 141590 158460 169908 212385 269021 283180 424770 538042 807063 849540 1076084 1345105 1614126 1968101 2690210 3228252 3936202 4035315 5380420 5904303 7872404 8070630 9840505 11808606 16141260 19681010 23617212 29521515 37393919 39362020 59043030 74787838 112181757 118086060 149575676 186969595 224363514 373939190 448727028 560908785 747878380 1121817570 2243635140