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228715704 = 23337331457
BaseRepresentation
bin11011010000111…
…10110010111000
3120221100221222000
431220132302320
5432022400304
634410101000
75445023430
oct1550366270
9527327860
10228715704
11108116548
126471a760
13384cc849
14225392c0
151512c939
hexda1ecb8

228715704 has 128 divisors (see below), whose sum is σ = 729868800. Its totient is φ = 65007360.

The previous prime is 228715687. The next prime is 228715709. The reversal of 228715704 is 407517822.

228715704 is a `hidden beast` number, since 2 + 2 + 87 + 1 + 570 + 4 = 666.

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 (228715709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500244 + ... + 500700.

It is an arithmetic number, because the mean of its divisors is an integer number (5702100).

Almost surely, 2228715704 is an apocalyptic number.

228715704 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 228715704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364934400).

228715704 is an abundant number, since it is smaller than the sum of its proper divisors (501153096).

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

228715704 is a wasteful number, since it uses less digits than its factorization.

228715704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 228715704 is about 15123.3496289678. The cubic root of 228715704 is about 611.5500344936.

The spelling of 228715704 in words is "two hundred twenty-eight million, seven hundred fifteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 331 378 457 504 662 756 914 993 1324 1371 1512 1828 1986 2317 2648 2742 2979 3199 3656 3972 4113 4634 5484 5958 6398 6951 7944 8226 8937 9268 9597 10968 11916 12339 12796 13902 16452 17874 18536 19194 20853 23832 24678 25592 27804 28791 32904 35748 38388 41706 49356 55608 57582 62559 71496 76776 83412 86373 98712 115164 125118 151267 166824 172746 230328 250236 302534 345492 453801 500472 605068 690984 907602 1058869 1210136 1361403 1815204 2117738 2722806 3176607 3630408 4084209 4235476 5445612 6353214 8168418 8470952 9529821 10891224 12706428 16336836 19059642 25412856 28589463 32673672 38119284 57178926 76238568 114357852 228715704