Search a number
-
+
228492294822 = 233115322731973
BaseRepresentation
bin1101010011001100110…
…0111011101010100110
3210211210000120020012000
43110303030323222212
512220423011413242
6252545022510130
722336152313641
oct3246314735246
9724700506160
10228492294822
11889a2a41aa0
1238349735346
1318715224b1c
14b0b81bca58
155e24a30a4c
hex353333baa6

228492294822 has 128 divisors (see below), whose sum is σ = 566875998720. Its totient is φ = 67632289920.

The previous prime is 228492294817. The next prime is 228492294829.

228492294822 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228492294829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7130428 + ... + 7162400.

It is an arithmetic number, because the mean of its divisors is an integer number (4428718740).

Almost surely, 2228492294822 is an apocalyptic number.

228492294822 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228492294822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283437999360).

228492294822 is an abundant number, since it is smaller than the sum of its proper divisors (338383703898).

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

228492294822 is a wasteful number, since it uses less digits than its factorization.

228492294822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32275 (or 32269 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 228492294822 in words is "two hundred twenty-eight billion, four hundred ninety-two million, two hundred ninety-four thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 227 297 318 454 477 583 594 681 954 1166 1362 1431 1749 2043 2497 2862 3498 4086 4994 5247 6129 7491 10494 12031 12258 14982 15741 22473 24062 31482 31973 36093 44946 63946 67419 72186 95919 108279 132341 134838 191838 216558 264682 287757 324837 351703 397023 575514 649674 703406 794046 863271 1055109 1191069 1694569 1726542 2110218 2382138 3165327 3389138 3573207 5083707 6330654 7146414 7257871 9495981 10167414 14515742 15251121 18640259 18991962 21773613 30502242 37280518 43547226 45753363 55920777 65320839 79836581 91506726 111841554 130641678 159673162 167762331 195962517 239509743 335524662 384667163 391925034 479019486 503286993 718529229 769334326 1006573986 1154001489 1437058458 2155587687 2308002978 3462004467 4231338793 4311175374 6924008934 8462677586 10386013401 12694016379 20772026802 25388032758 38082049137 76164098274 114246147411 228492294822