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228076200 = 2332521111519
BaseRepresentation
bin11011001100000…
…10101010101000
3120220011110201200
431212002222220
5431341414300
634344244200
75436421122
oct1546025250
9526143650
10228076200
1110781a030
1264470660
1338337741
1422410212
1515053200
hexd982aa8

228076200 has 144 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 55286400.

The previous prime is 228076193. The next prime is 228076201. The reversal of 228076200 is 2670822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228076201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14041 + ... + 25559.

It is an arithmetic number, because the mean of its divisors is an integer number (5803200).

Almost surely, 2228076200 is an apocalyptic number.

228076200 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 228076200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

228076200 is an abundant number, since it is smaller than the sum of its proper divisors (607584600).

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

228076200 is a wasteful number, since it uses less digits than its factorization.

228076200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11552 (or 11540 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 228076200 is about 15102.1918938941. The cubic root of 228076200 is about 610.9795245303.

The spelling of 228076200 in words is "two hundred twenty-eight million, seventy-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 11519 19800 23038 34557 46076 57595 69114 92152 103671 115190 126709 138228 172785 207342 230380 253418 276456 287975 345570 380127 414684 460760 506836 518355 575950 633545 691140 760254 829368 863925 1013672 1036710 1140381 1151900 1267090 1382280 1520508 1727850 1900635 2073420 2280762 2303800 2534180 2591775 3041016 3167725 3455700 3801270 4146840 4561524 5068360 5183550 5701905 6335450 6911400 7602540 9123048 9503175 10367100 11403810 12670900 15205080 19006350 20734200 22807620 25341800 28509525 38012700 45615240 57019050 76025400 114038100 228076200