Search a number
-
+
226123040 = 25511139883
BaseRepresentation
bin11010111101001…
…01110100100000
3120202111020111102
431132211310200
5430341414130
634234333532
75414004563
oct1536456440
9522436442
10226123040
11106705650
126388a2a8
1337b02720
14220624da
1514cb9645
hexd7a5d20

226123040 has 96 divisors (see below), whose sum is σ = 627673536. Its totient is φ = 75893760.

The previous prime is 226123039. The next prime is 226123081. The reversal of 226123040 is 40321622.

226123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261230402 = 102263258437683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17939 + ... + 27821.

It is an arithmetic number, because the mean of its divisors is an integer number (6538266).

Almost surely, 2226123040 is an apocalyptic number.

226123040 is a gapful number since it is divisible by the number (20) 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 226123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313836768).

226123040 is an abundant number, since it is smaller than the sum of its proper divisors (401550496).

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

226123040 is a wasteful number, since it uses less digits than its factorization.

226123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 226123040 is about 15037.3880710714. The cubic root of 226123040 is about 609.2304548331.

Adding to 226123040 its reverse (40321622), we get a palindrome (266444662).

It can be divided in two parts, 22612 and 3040, that added together give a palindrome (25652).

The spelling of 226123040 in words is "two hundred twenty-six million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 9883 11440 19766 22880 39532 49415 79064 98830 108713 128479 158128 197660 217426 256958 316256 395320 434852 513916 543565 642395 790640 869704 1027832 1087130 1284790 1413269 1581280 1739408 2055664 2174260 2569580 2826538 3478816 4111328 4348520 5139160 5653076 7066345 8697040 10278320 11306152 14132690 17394080 20556640 22612304 28265380 45224608 56530760 113061520 226123040