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2243160200 = 23521721972
BaseRepresentation
bin1000010110110011…
…1110100010001000
312210022220100022102
42011230332202020
514043222111300
61010330412532
7106405355441
oct20554764210
95708810272
102243160200
11a51229506
12527291148
13299963738
14173cb42c8
15d1de50d5
hex85b3e888

2243160200 has 108 divisors (see below), whose sum is σ = 5568444285. Its totient is φ = 840197120.

The previous prime is 2243160191. The next prime is 2243160253. The reversal of 2243160200 is 20613422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 1146093316 + 1097066884 = 33854^2 + 33122^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33490.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11386502 + ... + 11386698.

Almost surely, 22243160200 is an apocalyptic number.

2243160200 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 2243160200

2243160200 is an abundant number, since it is smaller than the sum of its proper divisors (3325284085).

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

2243160200 is a wasteful number, since it uses less digits than its factorization.

2243160200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2243160200 is about 47362.0122038750. The cubic root of 2243160200 is about 1309.0415458788.

Adding to 2243160200 its reverse (20613422), we get a palindrome (2263773622).

The spelling of 2243160200 in words is "two billion, two hundred forty-three million, one hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 197 200 289 340 394 425 578 680 788 850 985 1156 1445 1576 1700 1970 2312 2890 3349 3400 3940 4925 5780 6698 7225 7880 9850 11560 13396 14450 16745 19700 26792 28900 33490 38809 39400 56933 57800 66980 77618 83725 113866 133960 155236 167450 194045 227732 284665 310472 334900 388090 455464 569330 659753 669800 776180 970225 1138660 1319506 1423325 1552360 1940450 2277320 2639012 2846650 3298765 3880900 5278024 5693300 6597530 7761800 11215801 11386600 13195060 16493825 22431602 26390120 32987650 44863204 56079005 65975300 89726408 112158010 131950600 224316020 280395025 448632040 560790050 1121580100 2243160200