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228435336 = 233337101283
BaseRepresentation
bin11011001110110…
…10010110001000
3120220211201101000
431213122112020
5431434412321
634400055000
75442445143
oct1547322610
9526751330
10228435336
11107a44938
1264604460
133843204c
14224a505a
15150c4826
hexd9da588

228435336 has 128 divisors (see below), whose sum is σ = 660470400. Its totient is φ = 73094400.

The previous prime is 228435331. The next prime is 228435359. The reversal of 228435336 is 633534822.

It is a happy number.

228435336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228435336.

It is not an unprimeable number, because it can be changed into a prime (228435331) 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, 807051 + ... + 807333.

It is an arithmetic number, because the mean of its divisors is an integer number (5159925).

Almost surely, 2228435336 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 228435336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330235200).

228435336 is an abundant number, since it is smaller than the sum of its proper divisors (432035064).

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

228435336 is a wasteful number, since it uses less digits than its factorization.

228435336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 228435336 is about 15114.0774114731. The cubic root of 228435336 is about 611.3000455844.

The spelling of 228435336 in words is "two hundred twenty-eight million, four hundred thirty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 101 108 111 148 202 216 222 283 296 303 333 404 444 566 606 666 808 849 888 909 999 1132 1212 1332 1698 1818 1998 2264 2424 2547 2664 2727 3396 3636 3737 3996 5094 5454 6792 7272 7474 7641 7992 10188 10471 10908 11211 14948 15282 20376 20942 21816 22422 28583 29896 30564 31413 33633 41884 44844 57166 61128 62826 67266 83768 85749 89688 94239 100899 114332 125652 134532 171498 188478 201798 228664 251304 257247 269064 282717 342996 376956 403596 514494 565434 685992 753912 771741 807192 1028988 1057571 1130868 1543482 2057976 2115142 2261736 3086964 3172713 4230284 6173928 6345426 8460568 9518139 12690852 19036278 25381704 28554417 38072556 57108834 76145112 114217668 228435336