Search a number
-
+
228862592 = 277733499
BaseRepresentation
bin11011010010000…
…10101010000000
3120221122102110022
431221002222000
5432042100332
634413153012
75446204610
oct1551025200
9527572408
10228862592
11108206942
126478b768
133855166a
1422576a40
151515b212
hexda42a80

228862592 has 64 divisors (see below), whose sum is σ = 528360000. Its totient is φ = 96712704.

The previous prime is 228862567. The next prime is 228862597. The reversal of 228862592 is 295268822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228862597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63659 + ... + 67157.

It is an arithmetic number, because the mean of its divisors is an integer number (8255625).

Almost surely, 2228862592 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 228862592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264180000).

228862592 is an abundant number, since it is smaller than the sum of its proper divisors (299497408).

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

228862592 is an equidigital number, since it uses as much as digits as its factorization.

228862592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3581 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The square root of 228862592 is about 15128.2051810517. The cubic root of 228862592 is about 611.6809249927.

The spelling of 228862592 in words is "two hundred twenty-eight million, eight hundred sixty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 511 584 896 1022 1168 2044 2336 3499 4088 4672 6998 8176 9344 13996 16352 24493 27992 32704 48986 55984 65408 97972 111968 195944 223936 255427 391888 447872 510854 783776 1021708 1567552 1787989 2043416 3135104 3575978 4086832 7151956 8173664 14303912 16347328 28607824 32694656 57215648 114431296 228862592