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226915128 = 233311432221
BaseRepresentation
bin11011000011001…
…11001100111000
3120210222111001000
431201213030320
5431042241003
634303325000
75423514066
oct1541471470
9523874030
10226915128
111070a6770
1263bb0760
133801c10b
14221cb036
1514dc41a3
hexd867338

226915128 has 128 divisors (see below), whose sum is σ = 703929600. Its totient is φ = 67132800.

The previous prime is 226915127. The next prime is 226915141. The reversal of 226915128 is 821519622.

226915128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 226915092 and 226915101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226915127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101058 + ... + 103278.

It is an arithmetic number, because the mean of its divisors is an integer number (5499450).

Almost surely, 2226915128 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 226915128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351964800).

226915128 is an abundant number, since it is smaller than the sum of its proper divisors (477014472).

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

226915128 is a wasteful number, since it uses less digits than its factorization.

226915128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2280 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 226915128 is about 15063.7023337558. The cubic root of 226915128 is about 609.9409850638.

The spelling of 226915128 in words is "two hundred twenty-six million, nine hundred fifteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 516 594 774 792 946 1032 1161 1188 1419 1548 1892 2221 2322 2376 2838 3096 3784 4257 4442 4644 5676 6663 8514 8884 9288 11352 12771 13326 17028 17768 19989 24431 25542 26652 34056 39978 48862 51084 53304 59967 73293 79956 95503 97724 102168 119934 146586 159912 191006 195448 219879 239868 286509 293172 382012 439758 479736 573018 586344 659637 764024 859527 879516 1050533 1146036 1319274 1719054 1759032 2101066 2292072 2578581 2638548 3151599 3438108 4202132 5157162 5277096 6303198 6876216 8404264 9454797 10314324 12606396 18909594 20628648 25212792 28364391 37819188 56728782 75638376 113457564 226915128