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226836896 = 251113192609
BaseRepresentation
bin11011000010101…
…00000110100000
3120210211111201112
431201110012200
5431032240041
634301522452
75423040026
oct1541240640
9523744645
10226836896
11107052a10
1263b73428
1337cc2620
14221aa716
1514daadeb
hexd8541a0

226836896 has 96 divisors (see below), whose sum is σ = 552484800. Its totient is φ = 90132480.

The previous prime is 226836893. The next prime is 226836901. The reversal of 226836896 is 698638622.

It is not an unprimeable number, because it can be changed into a prime (226836893) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85640 + ... + 88248.

It is an arithmetic number, because the mean of its divisors is an integer number (5755050).

Almost surely, 2226836896 is an apocalyptic number.

226836896 is a gapful number since it is divisible by the number (26) 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 226836896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276242400).

226836896 is an abundant number, since it is smaller than the sum of its proper divisors (325647904).

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

226836896 is a wasteful number, since it uses less digits than its factorization.

226836896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2654 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 50.

The square root of 226836896 is about 15061.1054043188. The cubic root of 226836896 is about 609.8708819254.

The spelling of 226836896 in words is "two hundred twenty-six million, eight hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 76 88 104 143 152 176 208 209 247 286 304 352 416 418 494 572 608 836 988 1144 1672 1976 2288 2609 2717 3344 3952 4576 5218 5434 6688 7904 10436 10868 20872 21736 28699 33917 41744 43472 49571 57398 67834 83488 86944 99142 114796 135668 198284 229592 271336 373087 396568 459184 542672 545281 644423 746174 793136 918368 1085344 1090562 1288846 1492348 1586272 2181124 2577692 2984696 4362248 5155384 5969392 7088653 8724496 10310768 11938784 14177306 17448992 20621536 28354612 56709224 113418448 226836896