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226141608 = 233711791549
BaseRepresentation
bin11010111101010…
…10010110101000
3120202112011222010
431132222112220
5430343012413
634234555520
75414112660
oct1536522650
9522464863
10226141608
111067185a0
1263898ba0
1337b0b004
14220691a0
1514cbedc3
hexd7aa5a8

226141608 has 128 divisors (see below), whose sum is σ = 714240000. Its totient is φ = 57957120.

The previous prime is 226141583. The next prime is 226141651. The reversal of 226141608 is 806141622.

It is a super-2 number, since 2×2261416082 = 102280053737651328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145218 + ... + 146766.

It is an arithmetic number, because the mean of its divisors is an integer number (5580000).

Almost surely, 2226141608 is an apocalyptic number.

226141608 is a gapful number since it is divisible by the number (28) 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 226141608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120000).

226141608 is an abundant number, since it is smaller than the sum of its proper divisors (488098392).

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

226141608 is a wasteful number, since it uses less digits than its factorization.

226141608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 226141608 is about 15038.0054528518. The cubic root of 226141608 is about 609.2471299457.

The spelling of 226141608 in words is "two hundred twenty-six million, one hundred forty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 79 84 88 132 154 158 168 231 237 264 308 316 462 474 553 616 632 869 924 948 1106 1549 1659 1738 1848 1896 2212 2607 3098 3318 3476 4424 4647 5214 6083 6196 6636 6952 9294 10428 10843 12166 12392 13272 17039 18249 18588 20856 21686 24332 32529 34078 36498 37176 43372 48664 51117 65058 68156 72996 86744 102234 119273 122371 130116 136312 145992 204468 238546 244742 260232 357819 367113 408936 477092 489484 715638 734226 856597 954184 978968 1346081 1431276 1468452 1713194 2569791 2692162 2862552 2936904 3426388 4038243 5139582 5384324 6852776 8076486 9422567 10279164 10768648 16152972 18845134 20558328 28267701 32305944 37690268 56535402 75380536 113070804 226141608