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228172160 = 275541659
BaseRepresentation
bin11011001100110…
…10000110000000
3120220100100100202
431212122012000
5431403002120
634350304332
75440300646
oct1546320600
9526310322
10228172160
11107885137
12644b80a8
133836c318
1422437196
1515071875
hexd99a180

228172160 has 64 divisors (see below), whose sum is σ = 547311600. Its totient is φ = 90961920.

The previous prime is 228172151. The next prime is 228172187. The reversal of 228172160 is 61271822.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345911 + ... + 346569.

Almost surely, 2228172160 is an apocalyptic number.

228172160 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 228172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273655800).

228172160 is an abundant number, since it is smaller than the sum of its proper divisors (319139440).

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

228172160 is an equidigital number, since it uses as much as digits as its factorization.

228172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 228172160 is about 15105.3685820638. The cubic root of 228172160 is about 611.0651996607.

The spelling of 228172160 in words is "two hundred twenty-eight million, one hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 541 640 659 1082 1318 2164 2636 2705 3295 4328 5272 5410 6590 8656 10544 10820 13180 17312 21088 21640 26360 34624 42176 43280 52720 69248 84352 86560 105440 173120 210880 346240 356519 421760 713038 1426076 1782595 2852152 3565190 5704304 7130380 11408608 14260760 22817216 28521520 45634432 57043040 114086080 228172160