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226929408 = 2832329443
BaseRepresentation
bin11011000011010…
…10101100000000
3120211000012121220
431201222230000
5431043220113
634303515040
75423603526
oct1541525400
9524005556
10226929408
11107106472
1263bb8a80
1338025774
14221d2316
1514dc8523
hexd86ab00

226929408 has 144 divisors (see below), whose sum is σ = 653425920. Its totient is φ = 69701632.

The previous prime is 226929401. The next prime is 226929433. The reversal of 226929408 is 804929622.

226929408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226929408.

It is not an unprimeable number, because it can be changed into a prime (226929401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512035 + ... + 512477.

It is an arithmetic number, because the mean of its divisors is an integer number (4537680).

Almost surely, 2226929408 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 226929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326712960).

226929408 is an abundant number, since it is smaller than the sum of its proper divisors (426496512).

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

226929408 is a wasteful number, since it uses less digits than its factorization.

226929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 226929408 is about 15064.1763133601. The cubic root of 226929408 is about 609.9537795311.

The spelling of 226929408 in words is "two hundred twenty-six million, nine hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 443 464 552 667 696 736 768 886 928 1104 1329 1334 1392 1472 1772 1856 2001 2208 2658 2668 2784 2944 3544 3712 4002 4416 5316 5336 5568 5888 7088 7424 8004 8832 10189 10632 10672 11136 12847 14176 16008 17664 20378 21264 21344 22272 25694 28352 30567 32016 38541 40756 42528 42688 51388 56704 61134 64032 77082 81512 85056 85376 102776 113408 122268 128064 154164 163024 170112 170752 205552 244536 256128 295481 308328 326048 340224 411104 489072 512256 590962 616656 652096 822208 886443 978144 1181924 1233312 1304192 1644416 1772886 1956288 2363848 2466624 2608384 3288832 3545772 3912576 4727696 4933248 7091544 7825152 9455392 9866496 14183088 18910784 28366176 37821568 56732352 75643136 113464704 226929408