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228354048 = 2113213953
BaseRepresentation
bin11011001110001…
…10100000000000
3120220200120212100
431213012200000
5431424312143
634354230400
75441656146
oct1547064000
9526616770
10228354048
1110799985a
1264585400
1338404050
1422483596
15150aa6d3
hexd9c6800

228354048 has 144 divisors (see below), whose sum is σ = 711006660. Its totient is φ = 70189056.

The previous prime is 228354041. The next prime is 228354053. The reversal of 228354048 is 840453822.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 12616704 = 14688^2 + 3552^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228354041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239140 + ... + 240092.

Almost surely, 2228354048 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 228354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355503330).

228354048 is an abundant number, since it is smaller than the sum of its proper divisors (482652612).

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

228354048 is a wasteful number, since it uses less digits than its factorization.

228354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 228354048 is about 15111.3880236066. The cubic root of 228354048 is about 611.2275272454.

The spelling of 228354048 in words is "two hundred twenty-eight million, three hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 953 1024 1152 1248 1536 1664 1872 1906 2048 2304 2496 2859 3072 3328 3744 3812 4608 4992 5718 6144 6656 7488 7624 8577 9216 9984 11436 12389 13312 14976 15248 17154 18432 19968 22872 24778 26624 29952 30496 34308 37167 39936 45744 49556 59904 60992 68616 74334 79872 91488 99112 111501 119808 121984 137232 148668 182976 198224 223002 239616 243968 274464 297336 365952 396448 446004 487936 548928 594672 731904 792896 892008 975872 1097856 1189344 1463808 1585792 1784016 1951744 2195712 2378688 2927616 3171584 3568032 4391424 4757376 5855232 6343168 7136064 8782848 9514752 12686336 14272128 17565696 19029504 25372672 28544256 38059008 57088512 76118016 114177024 228354048