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226017440 = 25511532423
BaseRepresentation
bin11010111100011…
…00000010100000
3120202021212122022
431132030002200
5430330024230
634232201012
75413054655
oct1536140240
9522255568
10226017440
11106643280
1263839168
1337a9663c
1422035c2c
1514c981e5
hexd78c0a0

226017440 has 96 divisors (see below), whose sum is σ = 593744256. Its totient is φ = 80604160.

The previous prime is 226017439. The next prime is 226017457. The reversal of 226017440 is 44710622.

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, 92069 + ... + 94491.

It is an arithmetic number, because the mean of its divisors is an integer number (6184836).

Almost surely, 2226017440 is an apocalyptic number.

226017440 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 226017440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296872128).

226017440 is an abundant number, since it is smaller than the sum of its proper divisors (367726816).

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

226017440 is a wasteful number, since it uses less digits than its factorization.

226017440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 226017440 is about 15033.8764129548. The cubic root of 226017440 is about 609.1356027068.

The spelling of 226017440 in words is "two hundred twenty-six million, seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1696 1760 2120 2332 2423 2915 4240 4664 4846 5830 8480 9328 9692 11660 12115 18656 19384 23320 24230 26653 38768 46640 48460 53306 77536 93280 96920 106612 128419 133265 193840 213224 256838 266530 387680 426448 513676 533060 642095 852896 1027352 1066120 1284190 1412609 2054704 2132240 2568380 2825218 4109408 4264480 5136760 5650436 7063045 10273520 11300872 14126090 20547040 22601744 28252180 45203488 56504360 113008720 226017440