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226249728 = 2103471567
BaseRepresentation
bin11010111110001…
…00110000000000
3120202201200021120
431133010300000
5430404442403
634241152240
75415043125
oct1537046000
9522650246
10226249728
11106791851
126392b680
1337b482a3
142209674c
1514ce1e53
hexd7c4c00

226249728 has 88 divisors (see below), whose sum is σ = 616261632. Its totient is φ = 73764864.

The previous prime is 226249721. The next prime is 226249729. The reversal of 226249728 is 827942622.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 226249728.

It is not an unprimeable number, because it can be changed into a prime (226249721) 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 7 ways as a sum of consecutive naturals, for example, 143601 + ... + 145167.

Almost surely, 2226249728 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 226249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308130816).

226249728 is an abundant number, since it is smaller than the sum of its proper divisors (390011904).

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

226249728 is a wasteful number, since it uses less digits than its factorization.

226249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1619 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 226249728 is about 15041.5999149027. The cubic root of 226249728 is about 609.3442096842.

The spelling of 226249728 in words is "two hundred twenty-six million, two hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 376 384 512 564 752 768 1024 1128 1504 1536 1567 2256 3008 3072 3134 4512 4701 6016 6268 9024 9402 12032 12536 18048 18804 24064 25072 36096 37608 48128 50144 72192 73649 75216 100288 144384 147298 150432 200576 220947 294596 300864 401152 441894 589192 601728 802304 883788 1178384 1203456 1604608 1767576 2356768 2406912 3535152 4713536 4813824 7070304 9427072 14140608 18854144 28281216 37708288 56562432 75416576 113124864 226249728