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228111372 = 223217419091
BaseRepresentation
bin11011001100010…
…11010000001100
3120220020020222100
431212023100030
5431344030442
634345115100
75436625506
oct1546132014
9526206870
10228111372
111078434a5
1264488a90
133834a758
142241cd76
151505d84c
hexd98b40c

228111372 has 72 divisors (see below), whose sum is σ = 625493232. Its totient is φ = 69811200.

The previous prime is 228111329. The next prime is 228111379. The reversal of 228111372 is 273111822.

228111372 is a `hidden beast` number, since 2 + 281 + 11 + 372 = 666.

It is not an unprimeable number, because it can be changed into a prime (228111379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20547 + ... + 29637.

It is an arithmetic number, because the mean of its divisors is an integer number (8687406).

Almost surely, 2228111372 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 228111372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312746616).

228111372 is an abundant number, since it is smaller than the sum of its proper divisors (397381860).

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

228111372 is a wasteful number, since it uses less digits than its factorization.

228111372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9154 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 228111372 is about 15103.3563157333. The cubic root of 228111372 is about 611.0109296298.

The spelling of 228111372 in words is "two hundred twenty-eight million, one hundred eleven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 9091 12546 18182 25092 27273 36364 54546 81819 109092 154547 163638 309094 327276 372731 463641 618188 745462 927282 1118193 1390923 1490924 1854564 2236386 2781846 3354579 4472772 5563692 6336427 6709158 12672854 13418316 19009281 25345708 38018562 57027843 76037124 114055686 228111372