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228351424 = 26719139193
BaseRepresentation
bin11011001110001…
…01110111000000
3120220200110021011
431213011313000
5431424221144
634354210304
75441645410
oct1547056700
9526613234
10228351424
11107997894
1264583994
1338402ab2
1422482640
15150a9a34
hexd9c5dc0

228351424 has 112 divisors (see below), whose sum is σ = 551891200. Its totient is φ = 91570176.

The previous prime is 228351421. The next prime is 228351433. The reversal of 228351424 is 424153822.

228351424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228351421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183072 + ... + 1183264.

It is an arithmetic number, because the mean of its divisors is an integer number (4927600).

Almost surely, 2228351424 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 228351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275945600).

228351424 is an abundant number, since it is smaller than the sum of its proper divisors (323539776).

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

228351424 is a wasteful number, since it uses less digits than its factorization.

228351424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 228351424 is about 15111.3012014188. The cubic root of 228351424 is about 611.2251860458.

The spelling of 228351424 in words is "two hundred twenty-eight million, three hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 139 152 193 224 266 278 304 386 448 532 556 608 772 973 1064 1112 1216 1351 1544 1946 2128 2224 2641 2702 3088 3667 3892 4256 4448 5282 5404 6176 7334 7784 8512 8896 10564 10808 12352 14668 15568 18487 21128 21616 25669 26827 29336 31136 36974 42256 43232 51338 53654 58672 62272 73948 84512 86464 102676 107308 117344 147896 169024 187789 205352 214616 234688 295792 375578 410704 429232 509713 591584 751156 821408 858464 1019426 1183168 1502312 1642816 1716928 2038852 3004624 3567991 4077704 6009248 7135982 8155408 12018496 14271964 16310816 28543928 32621632 57087856 114175712 228351424