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228108160 = 275759863
BaseRepresentation
bin11011001100010…
…10011110000000
3120220020002120101
431212022132000
5431343430120
634345052144
75436613240
oct1546123600
9526202511
10228108160
11107841045
1264487054
1338349157
142241bb20
151505c90a
hexd98a780

228108160 has 128 divisors (see below), whose sum is σ = 634521600. Its totient is φ = 76793856.

The previous prime is 228108149. The next prime is 228108169. The reversal of 228108160 is 61801822.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228108169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263889 + ... + 264751.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2228108160 is an apocalyptic number.

228108160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

228108160 is the 7552-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

228108160 is an abundant number, since it is smaller than the sum of its proper divisors (406413440).

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

228108160 is an equidigital number, since it uses as much as digits as its factorization.

228108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 228108160 is about 15103.2499813782. The cubic root of 228108160 is about 611.0080617671.

Adding to 228108160 its reverse (61801822), we get a palindrome (289909982).

The spelling of 228108160 in words is "two hundred twenty-eight million, one hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 64 70 80 112 118 128 140 160 224 236 280 295 320 413 448 472 560 590 640 826 863 896 944 1120 1180 1652 1726 1888 2065 2240 2360 3304 3452 3776 4130 4315 4480 4720 6041 6608 6904 7552 8260 8630 9440 12082 13216 13808 16520 17260 18880 24164 26432 27616 30205 33040 34520 37760 48328 50917 52864 55232 60410 66080 69040 96656 101834 110464 120820 132160 138080 193312 203668 241640 254585 264320 276160 356419 386624 407336 483280 509170 552320 712838 773248 814672 966560 1018340 1425676 1629344 1782095 1933120 2036680 2851352 3258688 3564190 3866240 4073360 5702704 6517376 7128380 8146720 11405408 14256760 16293440 22810816 28513520 32586880 45621632 57027040 114054080 228108160