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226154340 = 223251989743
BaseRepresentation
bin11010111101011…
…01011101100100
3120202112211102200
431132231131210
5430343414330
634235134500
75414165046
oct1536553544
9522484380
10226154340
11106727115
12638a4430
1337b13a49
142206da96
1514cc3a60
hexd7ad764

226154340 has 144 divisors (see below), whose sum is σ = 731203200. Its totient is φ = 56415744.

The previous prime is 226154309. The next prime is 226154347. The reversal of 226154340 is 43451622.

226154340 is a `hidden beast` number, since 2 + 2 + 615 + 4 + 3 + 40 = 666.

It is a super-2 number, since 2×2261543402 = 102291571001671200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226154347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304009 + ... + 304751.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2226154340 is an apocalyptic number.

226154340 is a gapful number since it is divisible by the number (20) 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 226154340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365601600).

226154340 is an abundant number, since it is smaller than the sum of its proper divisors (505048860).

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

226154340 is a wasteful number, since it uses less digits than its factorization.

226154340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 226154340 is about 15038.4287743102. The cubic root of 226154340 is about 609.2585634732.

The spelling of 226154340 in words is "two hundred twenty-six million, one hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 89 90 95 114 171 178 180 190 228 267 285 342 356 380 445 534 570 684 743 801 855 890 1068 1140 1335 1486 1602 1691 1710 1780 2229 2670 2972 3204 3382 3420 3715 4005 4458 5073 5340 6687 6764 7430 8010 8455 8916 10146 11145 13374 14117 14860 15219 16020 16910 20292 22290 25365 26748 28234 30438 33435 33820 42351 44580 50730 56468 60876 66127 66870 70585 76095 84702 101460 127053 132254 133740 141170 152190 169404 198381 211755 254106 264508 282340 304380 330635 396762 423510 508212 595143 635265 661270 793524 847020 991905 1190286 1256413 1270530 1322540 1983810 2380572 2512826 2541060 2975715 3769239 3967620 5025652 5951430 6282065 7538478 11307717 11902860 12564130 15076956 18846195 22615434 25128260 37692390 45230868 56538585 75384780 113077170 226154340