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228678444 = 223331167409
BaseRepresentation
bin11011010000101…
…01101100101100
3120221022001212000
431220111230230
5432020202234
634405212300
75444510001
oct1550255454
9527261760
10228678444
111080a0555
1264701090
13384b88b7
14225298a8
1515121899
hexda15b2c

228678444 has 96 divisors (see below), whose sum is σ = 617164800. Its totient is φ = 73146240.

The previous prime is 228678431. The next prime is 228678451. The reversal of 228678444 is 444876822.

228678444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2286784442 = 104587661500522272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228678444.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558912 + ... + 559320.

It is an arithmetic number, because the mean of its divisors is an integer number (6428800).

Almost surely, 2228678444 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 228678444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308582400).

228678444 is an abundant number, since it is smaller than the sum of its proper divisors (388486356).

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

228678444 is a wasteful number, since it uses less digits than its factorization.

228678444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 612 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 228678444 is about 15122.1177088396. The cubic root of 228678444 is about 611.5168235518.

The spelling of 228678444 in words is "two hundred twenty-eight million, six hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 167 186 279 334 372 409 501 558 668 818 837 1002 1116 1227 1503 1636 1674 2004 2454 3006 3348 3681 4509 4908 5177 6012 7362 9018 10354 11043 12679 14724 15531 18036 20708 22086 25358 31062 38037 44172 46593 50716 62124 68303 76074 93186 114111 136606 139779 152148 186372 204909 228222 273212 279558 342333 409818 456444 559116 614727 684666 819636 1229454 1369332 1844181 2117393 2458908 3688362 4234786 6352179 7376724 8469572 12704358 19056537 25408716 38113074 57169611 76226148 114339222 228678444