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228266424 = 2335294049
BaseRepresentation
bin11011001101100…
…01000110111000
3120220112010200000
431212301012320
5431414011144
634352313000
75441142531
oct1546610670
9526463600
10228266424
11107939a41
1264542760
13383a31b9
142245d688
151508e769
hexd9b11b8

228266424 has 96 divisors (see below), whose sum is σ = 663390000. Its totient is φ = 73446912.

The previous prime is 228266419. The next prime is 228266447. The reversal of 228266424 is 424662822.

228266424 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 6 + 642 + 4 = 666.

228266424 is digitally balanced in base 2, 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54352 + ... + 58400.

Almost surely, 2228266424 is an apocalyptic number.

228266424 is a gapful number since it is divisible by the number (24) 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 228266424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331695000).

228266424 is an abundant number, since it is smaller than the sum of its proper divisors (435123576).

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

228266424 is a wasteful number, since it uses less digits than its factorization.

228266424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4099 (or 4083 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 228266424 is about 15108.4884750262. The cubic root of 228266424 is about 611.1493371815.

The spelling of 228266424 in words is "two hundred twenty-eight million, two hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 1044 1566 1944 2088 2349 3132 4049 4698 6264 7047 8098 9396 12147 14094 16196 18792 24294 28188 32392 36441 48588 56376 72882 97176 109323 117421 145764 218646 234842 291528 327969 352263 437292 469684 655938 704526 874584 939368 983907 1056789 1311876 1409052 1967814 2113578 2623752 2818104 3170367 3935628 4227156 6340734 7871256 8454312 9511101 12681468 19022202 25362936 28533303 38044404 57066606 76088808 114133212 228266424