Search a number
-
+
226430322512 = 24173171613617
BaseRepresentation
bin1101001011100001001…
…1001000011101010000
3210122110022121011221012
43102320103020131100
512202212130310022
6252004243350052
722234103661602
oct3227023103520
9718408534835
10226430322512
1188035017749
1237a73082328
1318476c8cb74
14ad603d1172
155d539cade2
hex34b84c8750

226430322512 has 160 divisors (see below), whose sum is σ = 487835633664. Its totient is φ = 101335449600.

The previous prime is 226430322511. The next prime is 226430322527. The reversal of 226430322512 is 215223034622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226430322511) 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, 366985628 + ... + 366986244.

Almost surely, 2226430322512 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 226430322512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243917816832).

226430322512 is an abundant number, since it is smaller than the sum of its proper divisors (261405311152).

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

226430322512 is a wasteful number, since it uses less digits than its factorization.

226430322512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The spelling of 226430322512 in words is "two hundred twenty-six billion, four hundred thirty million, three hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 31 34 62 68 71 124 136 142 248 272 284 496 527 568 613 617 1054 1136 1207 1226 1234 2108 2201 2414 2452 2468 4216 4402 4828 4904 4936 8432 8804 9656 9808 9872 10421 10489 17608 19003 19127 19312 20842 20978 35216 37417 38006 38254 41684 41956 43523 43807 74834 76012 76508 83368 83912 87046 87614 149668 152024 153016 166736 167824 174092 175228 299336 304048 306032 323051 325159 348184 350456 378221 598672 646102 650318 696368 700912 739891 744719 756442 1292204 1300636 1349213 1358017 1479782 1489438 1512884 2584408 2601272 2698426 2716034 2959564 2978876 3025768 5168816 5202544 5396852 5432068 5919128 5957752 6051536 6429757 10793704 10864136 11724851 11838256 11915504 12859514 21587408 21728272 22936621 23086289 23449702 25719028 26853691 45873242 46172578 46899404 51438056 53707382 91746484 92345156 93798808 102876112 107414764 183492968 184690312 187597616 199322467 214829528 366985936 369380624 398644934 429659056 456512747 797289868 832464421 913025494 1594579736 1664928842 1826050988 3189159472 3329857684 3652101976 6659715368 7304203952 13319430736 14151895157 28303790314 56607580628 113215161256 226430322512