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226155408 = 24389167317
BaseRepresentation
bin11010111101011…
…01101110010000
3120202112212220020
431132231232100
5430343433113
634235143440
75414201133
oct1536555620
9522485806
10226155408
111067279a6
12638a4b80
1337b1438b
142207021a
1514cc4023
hexd7adb90

226155408 has 80 divisors (see below), whose sum is σ = 596211840. Its totient is φ = 73858048.

The previous prime is 226155401. The next prime is 226155439. The reversal of 226155408 is 804551622.

It is a super-2 number, since 2×2261554082 = 102292537135292928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226155401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713266 + ... + 713582.

It is an arithmetic number, because the mean of its divisors is an integer number (7452648).

Almost surely, 2226155408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226155408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298105920).

226155408 is an abundant number, since it is smaller than the sum of its proper divisors (370056432).

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

226155408 is a wasteful number, since it uses less digits than its factorization.

226155408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 226155408 is about 15038.4642832970. The cubic root of 226155408 is about 609.2595225337.

The spelling of 226155408 in words is "two hundred twenty-six million, one hundred fifty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 167 178 267 317 334 356 501 534 634 668 712 951 1002 1068 1268 1336 1424 1902 2004 2136 2536 2672 3804 4008 4272 5072 7608 8016 14863 15216 28213 29726 44589 52939 56426 59452 84639 89178 105878 112852 118904 158817 169278 178356 211756 225704 237808 317634 338556 356712 423512 451408 635268 677112 713424 847024 1270536 1354224 2541072 4711571 9423142 14134713 18846284 28269426 37692568 56538852 75385136 113077704 226155408