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226297344 = 2937131619
BaseRepresentation
bin11010111110100…
…00011000000000
3120202211002121010
431133100120000
5430413003334
634242200520
75415332010
oct1537203000
9522732533
10226297344
111068145a9
1263953140
1337b63b70
14220a9c40
1514d010e9
hexd7d0600

226297344 has 160 divisors (see below), whose sum is σ = 742452480. Its totient is φ = 59645952.

The previous prime is 226297297. The next prime is 226297361. The reversal of 226297344 is 443792622.

It is a happy number.

226297344 is digitally balanced in base 3, 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 (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 138967 + ... + 140585.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2226297344 is an apocalyptic number.

226297344 is a gapful number since it is divisible by the number (24) 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 226297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

226297344 is an abundant number, since it is smaller than the sum of its proper divisors (516155136).

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

226297344 is a wasteful number, since it uses less digits than its factorization.

226297344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1644 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 226297344 is about 15043.1826419811. The cubic root of 226297344 is about 609.3869537484.

The spelling of 226297344 in words is "two hundred twenty-six million, two hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1092 1248 1344 1456 1536 1619 1664 1792 2184 2496 2688 2912 3238 3328 3584 4368 4857 4992 5376 5824 6476 6656 8736 9714 9984 10752 11333 11648 12952 17472 19428 19968 21047 22666 23296 25904 33999 34944 38856 42094 45332 46592 51808 63141 67998 69888 77712 84188 90664 103616 126282 135996 139776 147329 155424 168376 181328 207232 252564 271992 294658 310848 336752 362656 414464 441987 505128 543984 589316 621696 673504 725312 828928 883974 1010256 1087968 1178632 1243392 1347008 1450624 1767948 2020512 2175936 2357264 2486784 2694016 2901248 3535896 4041024 4351872 4714528 5388032 5802496 7071792 8082048 8703744 9429056 10776064 14143584 16164096 17407488 18858112 28287168 32328192 37716224 56574336 75432448 113148672 226297344