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228551904 = 25327731553
BaseRepresentation
bin11011001111101…
…10110011100000
3120221001122021100
431213312303200
5432002130104
634402354400
75443442040
oct1547666340
9527048240
10228551904
11108014479
126465ba00
1338473119
14224d5720
15150e9139
hexd9f6ce0

228551904 has 144 divisors (see below), whose sum is σ = 753453792. Its totient is φ = 64364544.

The previous prime is 228551903. The next prime is 228551909. The reversal of 228551904 is 409155822.

228551904 is digitally balanced in base 3, 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 (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (228551903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146392 + ... + 147944.

It is an arithmetic number, because the mean of its divisors is an integer number (5232318).

Almost surely, 2228551904 is an apocalyptic number.

228551904 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 228551904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376726896).

228551904 is an abundant number, since it is smaller than the sum of its proper divisors (524901888).

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

228551904 is a wasteful number, since it uses less digits than its factorization.

228551904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 228551904 is about 15117.9331920736. The cubic root of 228551904 is about 611.4040077642.

The spelling of 228551904 in words is "two hundred twenty-eight million, five hundred fifty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 112 126 144 146 168 219 224 252 288 292 336 438 504 511 584 657 672 876 1008 1022 1168 1314 1533 1553 1752 2016 2044 2336 2628 3066 3106 3504 4088 4599 4659 5256 6132 6212 7008 8176 9198 9318 10512 10871 12264 12424 13977 16352 18396 18636 21024 21742 24528 24848 27954 32613 36792 37272 43484 49056 49696 55908 65226 73584 74544 86968 97839 111816 113369 130452 147168 149088 173936 195678 223632 226738 260904 340107 347872 391356 447264 453476 521808 680214 782712 793583 906952 1020321 1043616 1360428 1565424 1587166 1813904 2040642 2380749 2720856 3130848 3174332 3627808 4081284 4761498 5441712 6348664 7142247 8162568 9522996 10883424 12697328 14284494 16325136 19045992 25394656 28568988 32650272 38091984 57137976 76183968 114275952 228551904