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226178120 = 23572167691
BaseRepresentation
bin11010111101100…
…11010001001000
3120202121001001102
431132303101020
5430400144440
634235440532
75414324300
oct1536632110
9522531042
10226178120
11106742a73
12638b6148
1337b2180c
1422078600
1514ccab15
hexd7b3448

226178120 has 96 divisors (see below), whose sum is σ = 596393280. Its totient is φ = 76970880.

The previous prime is 226178089. The next prime is 226178123. The reversal of 226178120 is 21871622.

226178120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226178123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326975 + ... + 327665.

It is an arithmetic number, because the mean of its divisors is an integer number (6212430).

Almost surely, 2226178120 is an apocalyptic number.

226178120 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 226178120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298196640).

226178120 is an abundant number, since it is smaller than the sum of its proper divisors (370215160).

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

226178120 is a wasteful number, since it uses less digits than its factorization.

226178120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 226178120 is about 15039.2193946361. The cubic root of 226178120 is about 609.2799171217.

The spelling of 226178120 in words is "two hundred twenty-six million, one hundred seventy-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 167 196 245 280 334 392 490 668 691 835 980 1169 1336 1382 1670 1960 2338 2764 3340 3455 4676 4837 5528 5845 6680 6910 8183 9352 9674 11690 13820 16366 19348 23380 24185 27640 32732 33859 38696 40915 46760 48370 65464 67718 81830 96740 115397 135436 163660 169295 193480 230794 270872 327320 338590 461588 576985 677180 807779 923176 1153970 1354360 1615558 2307940 3231116 4038895 4615880 5654453 6462232 8077790 11308906 16155580 22617812 28272265 32311160 45235624 56544530 113089060 226178120