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228237312 = 213337251
BaseRepresentation
bin11011001101010…
…10000000000000
3120220110122201210
431212222000000
5431412043222
634351530120
75440661622
oct1546520000
9526418653
10228237312
1110791a086
1264529940
1338392b84
1422452c12
1515085d0c
hexd9aa000

228237312 has 112 divisors (see below), whose sum is σ = 627534432. Its totient is φ = 73728000.

The previous prime is 228237307. The next prime is 228237319. The reversal of 228237312 is 213732822.

It is a self number, because there is not a number n which added to its sum of digits gives 228237312.

It is not an unprimeable number, because it can be changed into a prime (228237319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909187 + ... + 909437.

It is an arithmetic number, because the mean of its divisors is an integer number (5602986).

Almost surely, 2228237312 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 228237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313767216).

228237312 is an abundant number, since it is smaller than the sum of its proper divisors (399297120).

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

228237312 is an equidigital number, since it uses as much as digits as its factorization.

228237312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 228237312 is about 15107.5250123903. The cubic root of 228237312 is about 611.1233550629.

It can be divided in two parts, 22823 and 7312, that added together give a triangular number (30135 = T245).

The spelling of 228237312 in words is "two hundred twenty-eight million, two hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 251 256 296 384 444 502 512 592 753 768 888 1004 1024 1184 1506 1536 1776 2008 2048 2368 3012 3072 3552 4016 4096 4736 6024 6144 7104 8032 8192 9287 9472 12048 12288 14208 16064 18574 18944 24096 24576 27861 28416 32128 37148 37888 48192 55722 56832 64256 74296 75776 96384 111444 113664 128512 148592 151552 192768 222888 227328 257024 297184 303104 385536 445776 454656 514048 594368 771072 891552 909312 1028096 1188736 1542144 1783104 2056192 2377472 3084288 3566208 4754944 6168576 7132416 9509888 14264832 19019776 28529664 38039552 57059328 76079104 114118656 228237312