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228923760 = 243513239307
BaseRepresentation
bin11011010010100…
…01100101110000
3120221202112100210
431221101211300
5432101030020
634414344120
75446551132
oct1551214560
9527675323
10228923760
1110824889a
12647bb040
1338573460
1422591052
151516e3e0
hexda51970

228923760 has 160 divisors (see below), whose sum is σ = 769950720. Its totient is φ = 55931904.

The previous prime is 228923759. The next prime is 228923771. The reversal of 228923760 is 67329822.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745527 + ... + 745833.

It is an arithmetic number, because the mean of its divisors is an integer number (4812192).

Almost surely, 2228923760 is an apocalyptic number.

228923760 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 228923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384975360).

228923760 is an abundant number, since it is smaller than the sum of its proper divisors (541026960).

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

228923760 is a wasteful number, since it uses less digits than its factorization.

228923760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 228923760 is about 15130.2267002183. The cubic root of 228923760 is about 611.7354146986.

The spelling of 228923760 in words is "two hundred twenty-eight million, nine hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 239 240 260 307 312 390 478 520 614 624 717 780 921 956 1040 1195 1228 1434 1535 1560 1842 1912 2390 2456 2868 3070 3107 3120 3585 3684 3824 3991 4605 4780 4912 5736 6140 6214 7170 7368 7982 9210 9321 9560 11472 11973 12280 12428 14340 14736 15535 15964 18420 18642 19120 19955 23946 24560 24856 28680 31070 31928 36840 37284 39910 46605 47892 49712 57360 59865 62140 63856 73373 73680 74568 79820 93210 95784 119730 124280 146746 149136 159640 186420 191568 220119 239460 248560 293492 319280 366865 372840 440238 478920 586984 733730 745680 880476 953849 957840 1100595 1173968 1467460 1760952 1907698 2201190 2861547 2934920 3521904 3815396 4402380 4769245 5723094 5869840 7630792 8804760 9538490 11446188 14307735 15261584 17609520 19076980 22892376 28615470 38153960 45784752 57230940 76307920 114461880 228923760