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228903168 = 28313101227
BaseRepresentation
bin11011010010011…
…00100100000000
3120221201111010010
431221030210000
5432044400133
634414104520
75446434114
oct1551144400
9527644103
10228903168
1110823437a
12647ab140
1338566c80
1422587744
1515168263
hexda4c900

228903168 has 144 divisors (see below), whose sum is σ = 665493696. Its totient is φ = 69427200.

The previous prime is 228903151. The next prime is 228903179. The reversal of 228903168 is 861309822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008271 + ... + 1008497.

It is an arithmetic number, because the mean of its divisors is an integer number (4621484).

Almost surely, 2228903168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228903168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332746848).

228903168 is an abundant number, since it is smaller than the sum of its proper divisors (436590528).

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

228903168 is a wasteful number, since it uses less digits than its factorization.

228903168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 228903168 is about 15129.5461927977. The cubic root of 228903168 is about 611.7170720076.

The spelling of 228903168 in words is "two hundred twenty-eight million, nine hundred three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 227 256 303 312 384 404 416 454 606 624 681 768 808 832 908 1212 1248 1313 1362 1616 1664 1816 2424 2496 2626 2724 2951 3232 3328 3632 3939 4848 4992 5252 5448 5902 6464 7264 7878 8853 9696 9984 10504 10896 11804 12928 14528 15756 17706 19392 21008 21792 22927 23608 25856 29056 31512 35412 38784 42016 43584 45854 47216 58112 63024 68781 70824 77568 84032 87168 91708 94432 126048 137562 141648 168064 174336 183416 188864 252096 275124 283296 298051 336128 366832 377728 504192 550248 566592 596102 733664 755456 894153 1008384 1100496 1133184 1192204 1467328 1788306 2200992 2266368 2384408 2934656 3576612 4401984 4768816 5869312 7153224 8803968 9537632 14306448 17607936 19075264 28612896 38150528 57225792 76301056 114451584 228903168