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228728340 = 223354110331
BaseRepresentation
bin11011010001000…
…01111000010100
3120221101121022000
431220201320110
5432023301330
634410235300
75445105321
oct1550417024
9527347260
10228728340
11108124a95
1264725b30
1338505519
142253db48
1515131560
hexda21e14

228728340 has 96 divisors (see below), whose sum is σ = 729025920. Its totient is φ = 59500800.

The previous prime is 228728333. The next prime is 228728341. The reversal of 228728340 is 43827822.

228728340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 228728295 and 228728304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228728341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16975 + ... + 27305.

It is an arithmetic number, because the mean of its divisors is an integer number (7594020).

Almost surely, 2228728340 is an apocalyptic number.

228728340 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 228728340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364512960).

228728340 is an abundant number, since it is smaller than the sum of its proper divisors (500297580).

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

228728340 is a wasteful number, since it uses less digits than its factorization.

228728340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10390 (or 10382 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 228728340 is about 15123.7673877906. The cubic root of 228728340 is about 611.5612965157.

The spelling of 228728340 in words is "two hundred twenty-eight million, seven hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 10331 11070 20662 22140 30993 41324 51655 61986 92979 103310 123972 154965 185958 206620 278937 309930 371916 423571 464895 557874 619860 847142 929790 1115748 1270713 1394685 1694284 1859580 2117855 2541426 2789370 3812139 4235710 5082852 5578740 6353565 7624278 8471420 11436417 12707130 15248556 19060695 22872834 25414260 38121390 45745668 57182085 76242780 114364170 228728340