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2243213440 = 27513269617
BaseRepresentation
bin1000010110110100…
…1011100010000000
312210100000001100021
42011231023202000
514043230312230
61010331503224
7106405666606
oct20555134200
95710001307
102243213440
11a51265506
125272b7b14
13299981a40
14173cc9876
15d1e05c7a
hex85b4b880

2243213440 has 64 divisors (see below), whose sum is σ = 5775217560. Its totient is φ = 828260352.

The previous prime is 2243213431. The next prime is 2243213447. The reversal of 2243213440 is 443123422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2051002944 + 192210496 = 45288^2 + 13864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2243213447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126489 + ... + 143128.

Almost surely, 22243213440 is an apocalyptic number.

2243213440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243213440 is an abundant number, since it is smaller than the sum of its proper divisors (3532004120).

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

2243213440 is a wasteful number, since it uses less digits than its factorization.

2243213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269649 (or 269637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2243213440 is about 47362.5742543625. The cubic root of 2243213440 is about 1309.0519022234.

Adding to 2243213440 its reverse (443123422), we get a palindrome (2686336862).

The spelling of 2243213440 in words is "two billion, two hundred forty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 269617 539234 1078468 1348085 2156936 2696170 3505021 4313872 5392340 7010042 8627744 10784680 14020084 17255488 17525105 21569360 28040168 34510976 35050210 43138720 56080336 70100420 86277440 112160672 140200840 172554880 224321344 280401680 448642688 560803360 1121606720 2243213440