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226583340 = 223531432833
BaseRepresentation
bin11011000000101…
…10001100101100
3120210100121220120
431200112030230
5431001131330
634252244540
75420632554
oct1540261454
9523317816
10226583340
1110699a465
1263a70750
1337c340a9
1422142164
1514d5ac10
hexd81632c

226583340 has 96 divisors (see below), whose sum is σ = 670365696. Its totient is φ = 57093120.

The previous prime is 226583339. The next prime is 226583353. The reversal of 226583340 is 43385622.

It is a happy number.

226583340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78564 + ... + 81396.

It is an arithmetic number, because the mean of its divisors is an integer number (6982976).

Almost surely, 2226583340 is an apocalyptic number.

226583340 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 226583340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335182848).

226583340 is an abundant number, since it is smaller than the sum of its proper divisors (443782356).

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

226583340 is a wasteful number, since it uses less digits than its factorization.

226583340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 226583340 is about 15052.6854746919. The cubic root of 226583340 is about 609.6435613603.

The spelling of 226583340 in words is "two hundred twenty-six million, five hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 43 60 62 86 93 124 129 155 172 186 215 258 310 372 430 465 516 620 645 860 930 1290 1333 1860 2580 2666 2833 3999 5332 5666 6665 7998 8499 11332 13330 14165 15996 16998 19995 26660 28330 33996 39990 42495 56660 79980 84990 87823 121819 169980 175646 243638 263469 351292 365457 439115 487276 526938 609095 730914 878230 1053876 1218190 1317345 1461828 1756460 1827285 2436380 2634690 3654570 3776389 5269380 7309140 7552778 11329167 15105556 18881945 22658334 37763890 45316668 56645835 75527780 113291670 226583340