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228525040 = 24573109359
BaseRepresentation
bin11011001111100…
…00001111110000
3120221000021102101
431213300033300
5432000300130
634402030144
75443300522
oct1547601760
9527007371
10228525040
11107aa6277
1264648354
1338463b23
14224c9a12
15150e11ca
hexd9f03f0

228525040 has 80 divisors (see below), whose sum is σ = 545054400. Its totient is φ = 89081856.

The previous prime is 228525019. The next prime is 228525041. The reversal of 228525040 is 40525822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228525041) 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, 636381 + ... + 636739.

It is an arithmetic number, because the mean of its divisors is an integer number (6813180).

Almost surely, 2228525040 is an apocalyptic number.

228525040 is a gapful number since it is divisible by the number (20) 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 228525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200).

228525040 is an abundant number, since it is smaller than the sum of its proper divisors (316529360).

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

228525040 is a wasteful number, since it uses less digits than its factorization.

228525040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 228525040 is about 15117.0446847259. The cubic root of 228525040 is about 611.3800520084.

The spelling of 228525040 in words is "two hundred twenty-eight million, five hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 109 146 218 292 359 365 436 545 584 718 730 872 1090 1168 1436 1460 1744 1795 2180 2872 2920 3590 4360 5744 5840 7180 7957 8720 14360 15914 26207 28720 31828 39131 39785 52414 63656 78262 79570 104828 127312 131035 156524 159140 195655 209656 262070 313048 318280 391310 419312 524140 626096 636560 782620 1048280 1565240 2096560 2856563 3130480 5713126 11426252 14282815 22852504 28565630 45705008 57131260 114262520 228525040