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226261672 = 237132313513
BaseRepresentation
bin11010111110001…
…11101010101000
3120202202021122221
431133013222220
5430410333142
634241323424
75415123010
oct1537075250
9522667587
10226261672
1110679a81a
1263936574
1337b50860
142209ac40
1514ce5767
hexd7c7aa8

226261672 has 64 divisors (see below), whose sum is σ = 544884480. Its totient is φ = 85612032.

The previous prime is 226261621. The next prime is 226261681. The reversal of 226261672 is 276162622.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9988 + ... + 23500.

It is an arithmetic number, because the mean of its divisors is an integer number (8513820).

Almost surely, 2226261672 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 226261672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272442240).

226261672 is an abundant number, since it is smaller than the sum of its proper divisors (318622808).

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

226261672 is a wasteful number, since it uses less digits than its factorization.

226261672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 13558 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 226261672 is about 15041.9969418957. The cubic root of 226261672 is about 609.3549321710.

The spelling of 226261672 in words is "two hundred twenty-six million, two hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 182 184 299 322 364 598 644 728 1196 1288 2093 2392 4186 8372 13513 16744 27026 54052 94591 108104 175669 189182 310799 351338 378364 621598 702676 756728 1229683 1243196 1405352 2175593 2459366 2486392 4040387 4351186 4918732 8080774 8702372 9837464 16161548 17404744 28282709 32323096 56565418 113130836 226261672