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228163635200 = 2115221112
BaseRepresentation
bin1101010001111110011…
…1001100100000000000
3210210221010010120221102
43110133213030200000
512214234342311300
6252452242313532
722325051620424
oct3243747144000
9723833116842
10228163635200
1188844473176
12382776588a8
1318692101187
14b0866a8b84
155e05c600d5
hex351f9cc800

228163635200 has 108 divisors (see below), whose sum is σ = 565975777185. Its totient is φ = 91222220800.

The previous prime is 228163635191. The next prime is 228163635223. The reversal of 228163635200 is 2536361822.

It is a happy number.

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.

228163635200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 223600362496 + 4563272704 = 472864^2 + 67552^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=337760.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108082145 + ... + 108084255.

Almost surely, 2228163635200 is an apocalyptic number.

228163635200 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 228163635200

228163635200 is an abundant number, since it is smaller than the sum of its proper divisors (337812141985).

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

228163635200 is an frugal number, since it uses more digits than its factorization.

228163635200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 228163635200 in words is "two hundred twenty-eight billion, one hundred sixty-three million, six hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2111 2560 3200 4222 5120 6400 8444 10240 10555 12800 16888 21110 25600 33776 42220 51200 52775 67552 84440 105550 135104 168880 211100 270208 337760 422200 540416 675520 844400 1080832 1351040 1688800 2161664 2702080 3377600 4323328 4456321 5404160 6755200 8912642 10808320 13510400 17825284 21616640 22281605 27020800 35650568 44563210 54041600 71301136 89126420 108083200 111408025 142602272 178252840 222816050 285204544 356505680 445632100 570409088 713011360 891264200 1140818176 1426022720 1782528400 2281636352 2852045440 3565056800 4563272704 5704090880 7130113600 9126545408 11408181760 14260227200 22816363520 28520454400 45632727040 57040908800 114081817600 228163635200