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226156480 = 26511471367
BaseRepresentation
bin11010111101011…
…01111111000000
3120202112221100221
431132231333000
5430344001410
634235152424
75414204224
oct1536557700
9522487327
10226156480
11106728790
12638a5714
1337b14a04
1422070784
1514cc44da
hexd7adfc0

226156480 has 112 divisors (see below), whose sum is σ = 600431616. Its totient is φ = 80430080.

The previous prime is 226156477. The next prime is 226156481. The reversal of 226156480 is 84651622.

It is a super-3 number, since 3×2261564803 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226156481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164757 + ... + 166123.

Almost surely, 2226156480 is an apocalyptic number.

226156480 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 226156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300215808).

226156480 is an abundant number, since it is smaller than the sum of its proper divisors (374275136).

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

226156480 is a wasteful number, since it uses less digits than its factorization.

226156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 226156480 is about 15038.4999251920. The cubic root of 226156480 is about 609.2604851833.

The spelling of 226156480 in words is "two hundred twenty-six million, one hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 160 176 188 220 235 320 352 376 440 470 517 704 752 880 940 1034 1367 1504 1760 1880 2068 2585 2734 3008 3520 3760 4136 5170 5468 6835 7520 8272 10340 10936 13670 15037 15040 16544 20680 21872 27340 30074 33088 41360 43744 54680 60148 64249 75185 82720 87488 109360 120296 128498 150370 165440 218720 240592 256996 300740 321245 437440 481184 513992 601480 642490 706739 962368 1027984 1202960 1284980 1413478 2055968 2405920 2569960 2826956 3533695 4111936 4811840 5139920 5653912 7067390 10279840 11307824 14134780 20559680 22615648 28269560 45231296 56539120 113078240 226156480